Question

calculate the length of f given that the two triangles are similar and a = 10, c = 14, d = 5. enter the exact answer. f = etextbook and media

Explanation:

Step1: Set up proportion

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

Step2: Substitute values

Substitute $a = 10$, $c = 14$, and $d = 5$ into the proportion: $\frac{10}{5}=\frac{14}{f}$.

Step3: Cross - multiply

Cross - multiplying gives $10f=14\times5$.

Step4: Solve for f

First, calculate $14\times5 = 70$. Then, $10f = 70$, so $f=\frac{70}{10}=7$.

Answer:

$7$