Asked by Toxic

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
That the ratios of the sides including the included angle are equal, and the included angles are equal. Concretely:
AC/IG = CB/HI, and ∠ACB = ∠HIG.

Indeed 15/9 = 20/12 = 5/3, and both angles are 90°, so by SAS similarity the triangles are similar.