Question

Right triangle
has side lengths
,
, and
. A second right triangle,
, has side lengths of 34, 30, and 16. First, find the ratio of the side opposite
to thehypotenuse of triangle
. Then, use this ratio to identify the side length opposite point
on thesecond right triangle.
(1 point)
ABC AB = 8 BC = 15 AC = 17
A′B′C′ ∠C
ABC

Answer 1

In triangle ABC the hypotenuse is AC = 17 and the side opposite ∠C is AB = 8, so the ratio is 8/17.

In A′B′C′ the hypotenuse is 34, so the side opposite C′ = (8/17)·34 = 16.