Question

what value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8

Explanation:

Step1: Identify corresponding sides

The first triangle has sides 20, 20, 35; the second has sides 44, 44, x. Corresponding sides: 20↔44, 35↔x.

Step2: Set up proportion for similarity

By SSS similarity, $\frac{20}{44} = \frac{35}{x}$

Step3: Solve for x

Cross-multiply: $20x = 35×44$ → $20x = 1540$ → $x = \frac{1540}{20} = 77$

Answer:

C. 77