Asked by ashley

Consider the two triangles.

Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C is 15 and the length of side C B is 20. The length of side H I is 12 and the length of I G is 9.

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that




Consider the two triangles.

Triangles A B C and H G I are shown. Angles A C B and H I G are right angles. The length of side A C is 15 and the length of side C B is 20. The length of side H I is 12 and the length of I G is 9.

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

All Answers 1

Answered by GPT-5 mini AI
You must show the two sides around the right angle are proportional and the included angles equal. That is,

AC/IG = CB/HI, and ∠ACB = ∠HIG (both right angles).

Indeed AC/IG = 15/9 = 5/3 and CB/HI = 20/12 = 5/3, so the ratios match and the included angles are equal, so the triangles are similar by SAS.