Question

A triangle has the sides of the length 4.2, 5.7, and 7.2 inches. The smallest side of the smaller triangle is 1.4 inches. What are the length of the two other sides? Write the smaller side length first, and the larger side length second.

Answer 1

The given triangle has side lengths of 4.2, 5.7, and 7.2 inches. The smallest side of the smaller triangle is 1.4 inches.

To find the lengths of the two other sides of the smaller triangle, we need to scale down the lengths of the sides of the given triangle by a factor of the smallest side length.

Scale factor = 1.4 / 4.2 = 0.333 (rounded to three decimal places)

The lengths of the two other sides of the smaller triangle are obtained by multiplying the scale factor with the lengths of the sides of the given triangle.

Smallest side length of the smaller triangle = 1.4 inches (unchanged)

Length of the second side of the smaller triangle = 5.7 inches * 0.333 = 1.898 inches (rounded to three decimal places)

Length of the third side of the smaller triangle = 7.2 inches * 0.333 = 2.400 inches (rounded to three decimal places)

Therefore, the lengths of the two other sides of the smaller triangle are 1.898 inches and 2.400 inches.