Right Triangle Similarity

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 ~ _______

RTQ

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

5

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.

AXC ~ CXB ACB ~ AXC

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