Question

find the length of ZV, given the diagram

Answer 1

Answer:

ZV:34

Step-by-step explanation:

12/24 = 17/X

X = 34

this is called proportional triangles

Answer 2

Answer:

ZV = 34

Step-by-step explanation:

Δ XZV and Δ XYW are similar, then ratios of corresponding sides are equal, that is

$\frac{ZV}{YW}$ = $\frac{XV}{XW}$ , substitute values

$\frac{ZV}{24}$ = $\frac{17}{12}$ ( cross- multiply )

12 ZV = 408 ( divide both sides by 12 )

ZV = 34