The sides of a triangle are 10 15 and 20 the product of the sides of a similar triangle is 24 find the sides of the second triangle.

Let the sides of such a triangle be x, y and z.
We recognize the product of a triangle with known sides:
10 × 15 × 20 = 3,000
Find out the ratio of a triangle with unknown sides (x, y, z) to a triangle with known sides:
24 ÷ 3,000 = 1/125
Based on this, we can assume that each side of the unknown triangle will refer to the known as 1: 125
Now we decide:
x / 10 = 1/125 x = (10 × 1) ÷ 125 = 0.08
y / 15 = 1/125 y = (15 × 1) ÷ 125 = 0.12
z / 20 = 1/125 z = (20 × 1) ÷ 125 = 0.16
Answer: 0.08; 0.12; 0.16.