Understanding Inscribed Squares in Right Triangles

What are the lengths of the legs of the right triangle in which a square is inscribed?

• 8 and 4 units

• 12 and 6 units

• 15 and 7 units

• 10 and 5 units

Why are the triangles in the problem considered similar?

• They have the same area.

• They are all equilateral.

• They have matching angles.

• They have the same side lengths.

What variable is used to represent the side length of the square?

• X

• Z

• Y

• W

What is the equation set up to find the side length of the square using proportions?

• X/12 = 6/(12-X)

• 6/12 = X/(12-X)

• 12/6 = (12-X)/X

• 12/X = X/(12-X)

What is the length of the side of the square inscribed in the right triangle?

• 6 units

• 5 units

• 3 units

• 4 units