Question

1. the sides of two equilateral triangles are in the ratio 3:5. if a side of the smaller triangle is 24 inches, what is the measure of a side of the larger triangle?

Explanation:

Step1: Set up ratio equation

$\frac{24}{s_l} = \frac{3}{5}$

Step2: Cross-multiply to solve for $s_l$

$3s_l = 24 \times 5$

Step3: Calculate right-hand side

$3s_l = 120$

Step4: Divide both sides by 3

$s_l = 40$

Answer:

40 inches