what value of x will make the triangles similar by the sss similarity theorem?\n15.9\n59\n77\n96.8

Explanation:

Step1: Set up proportion

For two triangles to be similar by SSS similarity theorem, the ratios of corresponding sides are equal. So we set up the proportion $\frac{35}{x}=\frac{20}{44}$.

Step2: Cross - multiply

Cross - multiplying gives us $20x = 35\times44$.

Step3: Solve for x

First, calculate $35\times44 = 1540$. Then $x=\frac{1540}{20}=77$.

Answer:

77