The ratio of the areas of two right triangles is . If the length of the hypotenuse of the larger triangle is 48 units, find the length of the smaller triangle's hypotenuse.

Q: The area of a parallelogram is 36 m2. If the height of the parallelogram is 9 m, what is the length…

A: Area of the parallelogram is , Area = 36 m2 The height of the parallelogram is, h = 9 m To evaluate…

Q: Suppose that the perimeter of a quadrilateral is 70 and the lengths of the sides are in the ratio…

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Q: The lengths of a side of a triangle are in the ratio 3 : 4 : 5. If the perimeter of the triangle is…

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Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

Q: The ratios of the circumferences of two spheres is

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Q: A room in the shape of a triangle has sides of length 6 yd, 8yd, and 13 yd. If carpeting costs…

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Q: If the prisms shown are similar, what is the ratio of the volume of the larger prism to the smaller…

A: If the prism are similar then, the ratio of the volumes will be the same as the cube of the ratios…

Q: If the three sides of a triangle are in ratio of 3:5:7 and the perimeter of the triangle is 12 cm.…

A: Let the length of the sides of the triangle are  3x, 5x, 7x Therefore the perimeter is 3x+5x+7x=15x…

Q: If you place a 21-foot ladder against the top of a building and the bottom of the ladder is 12 feet…

A: NOTE: Refresh your page if you can't see any equations. . here we have AC=21 feet BC=12 feet AB=x…

Q: If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the

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Q: Find the ratio of the perimeters and the areas of the two triangles

A: Explanation and solution is given below....

Q: If the area of the square is 121 cm², find the length of the sides and diagonal of the square.

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Q: Find the length of an altitude of an equilateral triangle if each side is 10 in. long.

A: Given: The length of each side of equilateral triangle is 10 in. long. To find the length of an…

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: If the length of the radius of the circle is 6, what is the area of the square? * Remember, the…

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Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 56 in,…

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Q: If the height of an equilateral is 10/3, the length of each side is

A: Given  Height of a equilateral triangle =103

Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

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Q: If the length of the radius and the height of a right circular cylinder are both quadrupled to form…

A: Let smaller cylinder dimensionsRadius=rHeight=h∴ volume=πr2hLarger cylinder…

Q: The ratio of the leg adjacent to a 30 angle to the hypotenuse in a right triangle is 3√2 If the…

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Q: If two polygons are similar and have a scale factor of 3, then the ratio of the perimeters of the…

A: In the given question we have to find perimeter ratio of two similar figures which have scale factor…

Q: If the length of side AB is 1, what would be the length of side FC?

A: Given,   To Evaluate FC

Q: If the radius of one circle is 6 times the radius of another, what is the ratio of their areas? Of…

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Q: The perimeter of an isosceles triangle is 32 cm. If the length of the altitude drawn to the base is…

A: Consider the diagram of the isosceles triangle, it is given that the perimeter of the triangle is…

Q: Please help. *Draw the picture too* and explain it clearly-easy to understand (showing step by step)

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Q: If a right triangle has a hypotenuse that measures 31.1 m, and one of the legs measures 19 m, how…

A: We have to solve the problem by pythagorus law.

Q: A right triangle has side lengths measuring 7 cm, 24 cm, and 25 cm. A similar triangle has a…

A: Let x be the length of shortest side of larger triangle. Since both triangles are similar, By basic…

Q: If the ratio of the measure of the complement of an angle to the measure of its supplement is 1 : 6,…

A: Let the angle be x°. Its complement is 90°-x° Supplement is 180°-x°

Q: If the area of a trapezoid is 1,299 units?, and the lengths of the two bases are 16 & 22, what is…

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Q: Given a square whose side is denoted as 3(x+4)² cm. What is the diagonal length (in) of the square…

A: As we haven't mentioned which question to solve. So, I am solving first question. Given: A square…

Q: f two pyramids are similar to with slant heights in the ratio of 3:8, what is the ratio of their…

A: For similar objects, the ratio of their surface area is equal to the ratio of squares of their…

Q: The areas of two similar triangles are equal to 25 cm2 and 81 cm2. Find the ratio of a pair of…

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Q: If the area of a trapezoid is 929 units2, and the lengths of the two bases are 17 & 28, what is the…

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Q: If the ratio of the measure of the complement of an angle to the measure of its supplement is 1:4,…

A: Consider the measure of first complement angle as x°. Then the measure of second complement angle as…

Q: The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm²,…

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Q: If the side measure of a regular hexagon is 5cm and the area is 94.66 cm ^ 2 what is the length of…

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Q: In triangle ABC, AD = 10cm, the length of CD is half the length of AD, and the length of BD is twice…

A: To determine the area of the triangle.

Q: if the base of a triangle is 1 cm longer than its altitude and the area of the triangle is 210 cm,…

A: The objective is to find the length of the altitude.

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: If the radius of a circle is twice the radius of another circle, then find the ratio of the areas of…

A: Let r1  and  r2 denotes the radius of larger and smaller circles, respectively. Given that the…

Q: A circle has a diameter of 14 ft. If the area is tripled, what happens to the circumference.

A: Explanation of the answer is as follows

Q: In a pair of similar triangles, the lengths of corresponding sides are in proportion.

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Q: a bottle that is 50cm tall hold than one that's 20cm tall

A: The two bottle having length 50 cm and 20cm and both the bottle have similar in geometrical figure.…

Q: William is building a gazebo and wants to brace each corner by placing a 12-inch wooden bracket…

A: Pythagoras theorem states that the sum of square of base and square of perpendicular is equal to the…

Q: If a carpenter wants to make sure that the corner of a room is square and measures out 12 ft and 5…

A: If a carpenter wants to make sure that the corner of a room is square and measures out 12 ft and 5…

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 room in the shape of a triangle has sides of length 6 yd, 8 yd, and 13 yd. If carpeting costs…

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Q: if the perimeter of a triangular flower bed is 15 feet with two sides the same lenght and the third…

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Q: Springdale Street and Danville Avenue intersect. If Springdale Street is 9 meters wide and Danville…

A: Springdale Street is = 9 meters wide and Danville Avenue  is =12 meters wide