Question

Right triangles 12 and 3 are given with all their angle measures and approximate side lengths. 35 120 8.2 10 9.4 10 1 2 70 55 5.7 6.4 3 40

Answer 1

From the give triangles the triangle 2 is similar to triangle MNO.

Similar triangles have correcponding internal angles congruent (have the same measure).

The ratio between corresponding sides of similar triangles is equal in each pair of sides.

To find the measure of side MO, the correspondig side in triangle 2 is 8.2 units, you use also the measure of side MN (8units) and the corresponding side 10units:

`(MO)/(8.2)=(8)/(10)`

Use the equation above to find the measure of MO:

`MO=(8.2\cdot8)/(10)=6.56\approx6.6`Then, side Mo is approximately 6.6 units