The ratio of the leg adjacent to a 30 angle to the hypotenuse in a right triangle is 3√2 If the length of the hypotenuse is 10, what is the length of the adjacent leg?

Q: If a right triangle has two legs which have measurments of 9 inches and 15 inches, the length of the…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: The ratio of the measures of the sides of a triangle is 2:5:6, and its perimeter is 39 feet. Find…

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Q: The length of one leg of a right triangle is 1 m shorter than the other. If the hypotenuse is 5m…

A: Given, the length of one leg of a right triangle is 1 m shorter than the other and  the hypotenuse…

Q: If the hypotenuse of a right triangle measures 25 meters while a leg is 24 meters, what is the…

A: Since, The Pythagoras Theorem states that the sum of the squares ofthe two legs is equal to the…

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Q: In the applet above right triangle ABC is drawn with a 72° angle. For right triangles with an angle…

A: this can solve by using trigonometry angle ratio.

Q: One leg of a right triangle is 5 inches longer than the other leg, and the hypotenuse is 25 inches.…

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Q: The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 113…

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Q: The second angle of a triangle is three times the first, and the third is 12degrees less than twice…

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Q: The first leg of a right triangle is 6cm longer than its second leg. If the hypotenuse has a length…

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Q: A man mowing his four-sided yard is unable to remember all of its dimensions. He remembers that one…

A: A man mowing his four-sided yard is unable to remember all of its dimensions.   He remembers that…

Q: The perimeter of a right triangle is 40cm, the hypotenuse is 17cm , and the shorter leg is 8cm. Find…

A: Formula used  Perimeter of triangle = sum of length of all sides Area of right angle triangle =…

Q: The hypotenuse of a right triangle is 26 cm. The sum of the other two sides is 34 cm. Find the…

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Q: The hypotenuse of a right triangle is 20 m.if the difference between the length of the other sides…

A: Given: in a right angle triangle hypotenuse is 20m, difference between the lengths of the other…

Q: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 3…

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Q: The perimeter of a right triangle is 12 m. If the hypotenuse has a length of 5 m, find the lengths…

A: The perimeter of a triangle is the sum of all of its sides. Pythagoras theorem: According to this…

Q: In the applet above right triangle XYZ is drawn with a 23 angle. For right triangles with an angle…

A: Given that the ratio of adjacent side of 23 angle to hypotenuse is 0.92 we know that  cosθ=adjacent…

Q: In a right triangle, the side opposite angle φ has a length of 29.0 meters, the side adjacent to…

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Q: A right triangle has a side length of 10 feet and a hypotenuse length of 20 feet. Find the other…

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Q: The hypotenuse of a right triangle has length 20 cm. The sum of the lengths of the other two sides…

A: Given: hypotenuseh=20 cm let's assume, Baseb=x then altitudea=28-x we know that in right angle…

Q: An older automobile has a fan belt assembly that is the shape of an isosceles triangle. The two…

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Q: The side of a regular triangle is 2cm longer than the altitude. What is the perimeter of the…

A: Use the relation between altitude and side of a regular triangle.

Q: The hypotenuse of a right triangle is 20m.if the difference between the length of the other side is…

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Q: The sum of four interior angles of a regular hexagon is 480° what are the measures of the two…

A: Recall that in a regular polygon each side have the same length and each interior angle is equal. In…

Q: In a certain triangle, the measure of angle A is three times as big as the measure of angle C and…

A: Given that  Certain triangle has  Angle A is three times big as the measure of angle C. Angle B is…

Q: The distance around a triangle is 28 centimeters. If two sides are equal and the length of the third…

A: Find the solution below

Q: The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer…

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Q: The longest side of a triangle is 12 more than 3 times the longest side of a similar triangle. If…

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Q: The area of a right triangle is 30 cm². The length of one leg of the triangle is 5 cm. What is the…

A: Area of the triangle is 1/2*Base*Height

Q: The longer leg of a right triangle is 1cm longer than the shorter leg. The hypotenuse is 9cm longer…

A: To convert the given word problem into equations and thereby determine the required sides of the…

Q: The ratio of base to height of a equilateral triangle is 3:4. If the area of the triangle is 6, what…

A: The ratio of base to height of a equilateral triangle is always 2:√3 and never 3:4.

Q: The sum of the measures of ALL THREE angles in a triangle is 180° Solve for x. (2x+1)* (5x+5)

A: Form the expression for the sum of the angles of the right angle triangle. One angle is always equal…

Q: In the applet above right triangle XYZ is drawn with a 23° angle. For right triangles with an angle…

A: Given data: The given angle is ∠YXZ=23°. The ratio of the leg adjacent to the given angle to the…

Q: In a 30-60-90 degree triangle, the side opposite the 30-degree angle is how long compared to…

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Q: The distance around a triangle is 42 centimeters. If two sides are equal and the length of the third…

A: Given that, the perimeter of a triangle is 42 centimeters. It is known that, perimeter of a triangle…

Q: The perimeter of a rectangle is 154 feet. The ratio of its length to its with is 5:2. What is the…

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Q: The areas of two similar triangles are in the ratio of 25:9. If the altitude of the larger triangle…

A: Given, the areas of two similar triangles are in the ratio 25 : 9 and the altitude of the larger…

Q: The length of a shadow of a building is 26 m. The distance from the top of the building to the tip…

A: Use pythagorous theorem.

Q: If one side of a triangle is one-third the perimeter, the second side is 7 meters and the third side…

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Q: The base of a 30-foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how…

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Q: 9. If the hypotenuse of the right triangle measures 25 meters, and one leg is 17 meters more than…

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Q: The ratio of the areas of two right triangles is . If the length of the hypotenuse of the larger…

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Q: The hypotenuse has a length of 83 ft. and side B has a length of 22 ft. What is the length of side…

A: Let, A, B, C be the sides of a right angled triangle. The hypotenuse side of the triangle, C=83 ft.…

Q: The ratio of the measures of the sides of a triangle is 21:8:14. If the perimeter of the triangle is…

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Q: On a sunny day, a flag pole and its shadow form the sides of a right triangle. If the hypotenuse is…

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Q: One of the angles of an isosceles triangle is 120 0 , the radius of the inscribed circle is 3 . How…

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Q: For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the…

A: Given that in a right triangle the ratio of adjacent leg of an angle 23° to the hypotenuse is 0.92.…

Q: A 20-foot ladder is 15 feet from a house. How far up the house, to the nearest tenth of a foot, does…

A: Given: A 20 foot ladder is placed on the house and its bottom point is at a distance of 20 feet from…

Q: How could you do Problem 53 without using algebra?

A: Given- A board of length 20 foot. To find- The length of two pieces, if it cut into the ratio 7:3.

Q: A rectangle is 4 in. x 6 in. What are the sides of similar rectangle if the ratio of similitude is…

A: As similitude factor SF is less than one.So, multiply the SF to get the dimensions of the rectangle…