Lesson 5 Measured Reasoning Practice Understanding

Ready

Find the missing side in each right triangle. Triangles are not drawn to scale.

1.

Right triangle A with short leg 3, long leg 4, and hypotenuse ?. A34?

2.

Right triangle B with short leg 2.5, long leg ?, and hypotenuse 6.5. 6.52.5?B

3.

Right triangle C with short leg 10, long leg 24, and hypotenuse ?. C1024?

4.

Right triangle D with short leg 4, long leg ?, and hypotenuse 8.5. D?48.5

5.

Right triangle E with short leg 9, long leg ?, and hypotenuse 15. E915?

6.

Right triangle F with short leg ?, long leg 15, and hypotenuse 17. F1715?

7.

Based on ratios between side lengths, which of the previous right triangles are mathematically similar to each other? Name the triangles and write the proportion that demonstrates that they are similar.

Set

8.

Line and , find the values of angles , , and . Also, find the lengths of , , and .

Parallel lines m and n intersected by parallel lines p and o intersected by a transversal.

9.

Line and and , find the values of angles , , and . Also, find the lengths of , , , , , and .

Parallel lines q,r,s intersected by parallel lines u and t, intersected by parallel lines p,w,v forming a triangle.

Go

Solve each equation.

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