Question

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

Answer 1

Hypotenuse of ABC is AC = 17, and the side opposite ∠C is AB = 8, so the ratio is 8/17.
For A′B′C′ the hypotenuse is 34, so the side opposite C′ = (8/17)·34 = 16.