Question

calculate the length of d given that the two triangles are similar and a = 40, b = 25, e = 5. enter the exact answer. d =

Explanation:

Step1: Set up proportion

Since the two triangles are similar, the ratios of corresponding - sides are equal. So, $\frac{a}{d}=\frac{b}{e}$.

Step2: Solve for $d$

Cross - multiply the proportion $\frac{a}{d}=\frac{b}{e}$ to get $a\times e = b\times d$. Then $d=\frac{a\times e}{b}$.
Substitute $a = 40$, $b = 25$, and $e = 5$ into the formula: $d=\frac{40\times5}{25}$.
Calculate $40\times5 = 200$, then $\frac{200}{25}=8$.

Answer:

$8$