Based on the triangle below, what is the length of DF?

Q: The triangles formed by two ladders leaning against a wall are similar. How far up the wall does the…

A: The objective is to find how far up the wall does the shorter ladder reach.

Q: Use similar triangles to calculate the height, h cm, of triangle ABE. 10 cm B 36 cm E 20 cm

A: A triangle is a plane figure with three angles and three sides. If three angles of a triangle are…

Q: What is the area of triangle ABC with ∠C = 54°, AC = 11, and CB = 14?

A: Given:-  ∠C = 54°, AC = 11, and CB = 14 To find:- Area of triangle ABC

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Figure :                             CB is the diameter;                              OB= 2 cm…

Q: use the triangle below where MN || AC. 2 10 What is the value of x? What is the length of MN? If…

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Q: To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram. C.…

A: It is required to prove AB=XY.

Q: Trhangle be ken to triangie A E C' B' A B A' A'B' C'B' АВ CB

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Q: 13 ft 12 ft R For the right triangle RST, what is the length of RS? A A2 + B? = C? 0 5 10 Ps Ai 99+

A: Find the RS

Q: Consider the right triangle shown, in which the two sides have length 1. (a) Using the Pythagorean…

A: Pythagorean Theorem states that, in a right triangle the square of hypotenuse  of the triangle will…

Q: Given a right triangle ABC where angle C = 90°, side c = 18.9 units, and angle B = 25036'. How long…

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Q: Given a right triangle ABC where angle C = 90°, side a = 21.6 units, and side c = 37.5 units. How…

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Q: The two parallelograms below are similar. Fu 6 20 in. 12 in. What is the length of MJ?

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Q: The triangle ABC has AB=13 cm and BC =15 cm. Given that BCA= 60°, determine the possible values of…

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Q: Given the right triangle, find the length of the missing side in the three requested form S C

A: We are asked to find the missing sides of the triangle

Q: In the figure below, what is the length of side s?

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Q: to

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Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

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Q: Is there an easy side to use as the base? B Which method would be best to assist with finding the…

A: we have to find the area of the triangle

Q: What is the area of AABC?

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Q: In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB. If AB = 36 and AC…

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Q: What is line segment AF relative to triangle ABC? E 90 X

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Q: Given a triangle with angle A = 96° and sides a = 29 and b = 19, %D %3D the length of side c is C…

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Q: 9. KL 10x +3 K 3x +24 L

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Q: Consider the right triangle below B. 25 12 C. To the nearest degree, what is the value of 27

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Q: Is it possible to draw a triangle whose sides measure a) 7, 7, and 14? b) 6, 7, and 14? c) 6, 7, and…

A: It is known that if the sum of the lengths of two sides is more than the length of the third side…

Q: Express the lengths a and b shown in the figure in terms of ?. a= b=

A: To find : Find the value of a and b .

Q: In right triangle ADE shown, AC = 12, CE = 10, and AB = 10. What is the length of DE? %3D 22 VII 5…

A: The given triangles has length, AC=12, CE=10 and AB=10

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE 64 –…

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Q: Find the length of SR given that these two triangles are similar. 14 20 P 12 R

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Q: 9. 12 ?

A: Angle bisector divides opposite sides in two parts and in ratio of two corresponding sides

Q: 1. What is the measure of ZB in the triangle shown? B

A: Right-angle triangle: - The definition of a right triangle is that it is a right-angled triangle or…

Q: Find the area of a triangle if a = 4 km, b = 5 km, and c = 7 km. (Roun |km?

A: area of the triangle by heroes is  area = ss-as-bs-c where s=a+b+c2

Q: In the accompanying diagram of right triangle ABC, AB = 4 and BC = 7.* What is the length of AC to…

A: In a right-angled triangle: According to the Pythagoras theorem:

Q: For the right triangle with the given sides, the value of the CSce is Blank 1. The answer must be in…

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Q: In a right triangle ABC with C as the right angle, find A if a=38 and b=45

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Q: Given a right triangle ABC where angle C = 90°, side a = 57.3 units, and side b = 82.4 units. How…

A: Topic- Pythagoras Theorem

Q: Consider the non-right triangle below. A у ст ZABC ZBCA В х ст Suppose that m/ BCA = 69°, and that a…

A: Use cosine formula

Q: Use the Pythagorean theorem, hypotenuse? leg? + leg?.Find the length of the missing side of the…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A right triangle and two of its side lengths are shown in the diagram. 39 cm 12 cm X cm

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Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: In △ABC, D is a  midpoint of AB¯ and E is a midpoint of BC¯ To evaluate : The value of m∠ACE if…

Q: In the diagram to the left, LABC and ZDCB are right angles. Which of the following is closest to the…

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Q: In right triangle ABC, point O is the incenter, CD= 9" AC = 36", AB = 45 Find OD. 36 8.

A: Apply Pythagorean theorem, to find CB. CB=AB2-AC2=452-362=2025-1296=729=27 Therefore, CB=27''.

Q: In right triangle SRT below, mZR = 90°, mZS = 30° and SR = 4 , what is the length of ST? R

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Q: Given the diagram below what is the length of RS¯ or the distance across a body of water?

A: Please refer the attached image for complete solution.

Q: For the triangle shown, the area is exactly 18V3 units?. Determine the length x. 60 2x

A: Given figure:

Q: Consider right triangle ABC with C = 90°. If b = 5 and c = 13, find a.

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Q: A ladder is leaned up against a building as shown. Which is closest to the height, h, of the…

A: Draw a schematic diagram of given figure. Given data, Length of ladder, AC = 50 ft Distance between…

Q: Do the following lengths form a right triangle? 1) 20 10 12 2) 12 13 3) 41 40 9,

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Q: . In the triangle shown, GH || DF. E H 3 D What is the length of GE?

A: GH ιι DFso ∆EGH and ∆EDF are similar.

Q: Consider right angle triangle LMN. L 8 M N. Which side is opposite ZMLN? 10

A: Consider right angle triangle LMN We have to find the opposite side of ∠MLN