Right Triangle Similarity

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What is the length of BC?

c. 15 units

If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangle in terms of x?

b. x√2 units

What is the value of x?
(x, 9, 16)

b. 15 units

Triangle QRS is a right triangle.
Complete the similarity statement.
STR ~ _______


One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?

c. 7.1 inches

What is the value of c? __________ units


Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, GJ, is drawn from the right angle to the hypotenuse.

What is the length of GJ?

d. 8 units

Triangle MRN is created when an equilateral triangle is folded in half.
What is the value of y?

c. 4√3 units

What is the value of a?

b. 5 1/3 units

What is the value of x?

d. 3√2 units

What is the value of x?
(x, 10, 4x)

c. 5 units

CX is an altitude in triangle ABC.
Which statements are true? Check all that apply.


In the diagram, the length of YZ is twice the length of AZ.
YA is an altitude of XYZ. What is the length YA?

a. 5√3 units

What is the last sentence of the proof?

b. Because f + e = c, a2 + b2 = c2

What is the length of BC, rounded to the nearest tenth?

c. 31.2 units

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