Question

c) if vwxy is a kite, vy = 37, xv = 24, and wz = 10, find wy.

Explanation:

Step1: Find length of $ZV$

In right $\triangle XVZ$, use Pythagoras:
$$ZV = \sqrt{VY^2 - XV^2} = \sqrt{37^2 - 24^2}$$
$$ZV = \sqrt{1369 - 576} = \sqrt{793} = 29$$

Step2: Calculate length of $ZY$

$ZY = ZV = 29$ (kite diagonal property)

Step3: Find total length $WY$

$$WY = WZ + ZY = 10 + 29 = 50$$

Answer:

$WY = 50$