Question

IM BEGGING U HELP Triangle ABC is similar to Triangle GHI. Find the measures of side length z and angle d. Write your answer below as follows:

Answer 1

law of sines

law of cosines

Explanation:

Answer 2

Side length z = 20 m

Angle d = 53°

Explanation:

Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.

This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.

The scale factor = HI/BC = 25/10 = 2.5

The side length that corresponds to z is AB which is 8 m long.

z = 8*2.5

✅Side length z = 20 m

Corresponding angles of similar triangles are congruent to each other.

Therefore,

✅Angle d = <I = 53°