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)
The length of the side opposite C′
is
units.

Answer 1

Ratio = 8/17 (side opposite C is AB = 8, hypotenuse AC = 17). For the second triangle hypotenuse = 34, so opposite C' = 34*(8/17) = 16.

The length is 16 units.