Question

62 the lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side? a 32 b 24 c 16 d 4

Explanation:

Step1: Find similarity ratio

The longest side of the original triangle is 17, and the longest side of the similar triangle is 51. Calculate the ratio:
$\text{Ratio} = \frac{51}{17} = 3$

Step2: Calculate shortest side length

The shortest side of the original triangle is 8. Multiply by the ratio:
$\text{New shortest side} = 8 \times 3 = 24$

Answer:

B. 24