Question

What is YZ ? Enter your answer as a decimal in the box.

Answer 1

The length of YZ is 12.2

Explanation:

From the figure, it is obvious that the triangles XVW and ZYW are similar.

Since, the triangles are similar, then their sides are also proportional.

Also, given that the sides VY = YW and XZ = ZW which implies that XW = 2XZ = 2ZW.

Thus, we have,

$\frac{24.4}{YZ} =\frac{XW}{ZW}$

Since, XW = 2ZW.

Substituting, we have,

$\frac{24.4}{YZ} =\frac{2ZW}{ZW}$

Simplifying, we get,

$\frac{24.4}{YZ} =2$

$\frac{24.4}{2} =YZ$

Dividing, we get,

$12.2=YZ$

Thus, the length of YZ is 12.2