Question

triangle similarity: sss and sas
what value of x will make the triangles similar by the sss similarity theorem?
20
35
20
x
44
44
15.9
77
96.8
59

Explanation:

Step1: Identify corresponding sides

The first triangle has sides 20, 20, 35. The second has sides 44, 44, \( x \). For SSS similarity, the ratios of corresponding sides must be equal. So, \(\frac{20}{44}=\frac{35}{x}\) (since the two equal sides of the first triangle correspond to the two equal sides of the second, and the unequal sides correspond).

Step2: Solve for \( x \)

Cross - multiply: \( 20x = 35\times44 \). Calculate \( 35\times44 = 1540 \). Then \( x=\frac{1540}{20}=77 \).

Answer:

77