Question

Natalia constructed a right triangle with two side lengths measuring 3 and 5 units. She constructed a second right triangle similar to the first one, with the two corresponding sides measuring 5.1 and x units in length, respectively. Solve for the missing length, x, of the second triangle.

Answer 1

In similar figures, the ratios of the corresponding sides are the same. Thus
3/5.1 = 5/x
x = ( 5 * 5.1)/3
x = 8.5 units