Question

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

Answer 1

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

What is SSS similarity theorem?

The SSS similarity theorem is the theorem which is used to check the two triangle are similar or not.

SSS means the side-side-side. This theorem states that if all the three sides of a triangle are proportional to the three corresponding sides of the another triangle, then the triangles are similar.

In the given image, the sides of the first triangle are 35,20 and 20. The sides of the second triangle are x, 44,44.

Thus, by the SSS similarity theorem,

$\dfrac{x}{35}=\dfrac{44}{20}\\x=\dfrac{44\times35}{20}\\x=77$

The value of x which will make the provided triangles similar by the sss similarity theorem is 77.

Learn more about the SSS similarity theorem here;

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