Question

if wy = 21 and xy = 11, what is yz?
write your answer as a whole number or as a decimal rounded to the nearest hundredth
yz

Explanation:

Step1: Identify similar triangles

$\triangle WXY \sim \triangle XZY$ (right triangles share $\angle Y$)

Step2: Set up proportion

$\frac{WY}{XY} = \frac{XY}{YZ}$

Step3: Substitute known values

$\frac{21}{11} = \frac{11}{YZ}$

Step4: Solve for $YZ$

$YZ = \frac{11^2}{21} = \frac{121}{21}$

Step5: Calculate decimal value

$\frac{121}{21} \approx 5.76$

Answer:

$5.76$