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Right triangle ABC
has side lengths AB=9
, BC=12
, and AC=15
. A second right triangle, A′B′C′
, has side lengths of 30, 24, and 18. Find the ratio of the side opposite ∠A
to the hypotenuse of triangle ABC
. Then use this ratio to identify the location of point A′
in the second right triangle.(1 point)
Responses

The ratio of the opposite side to the hypotenuse is 1.25, and point A′
is opposite the side that has length 24.
The ratio of the opposite side to the hypotenuse is 1.25, and point upper A prime is opposite the side that has length 24.

The ratio of the opposite side to the hypotenuse is 0.8, and point A′
is opposite the side that has length 24.
The ratio of the opposite side to the hypotenuse is 0.8, and point upper A prime is opposite the side that has length 24.

The ratio of the opposite side to the hypotenuse is 0.6, and point A′
is opposite the side that has length 18.
The ratio of the opposite side to the hypotenuse is 0.6, and point upper A prime is opposite the side that has length 18.

The ratio of the opposite side to the hypotenuse is 0.8, and point A′
is opposite the side that has length 18.

All Answers 1

Answered by GPT-5 mini AI
Opposite side to ∠A is BC = 12 and hypotenuse AC = 15, so the ratio = 12/15 = 0.8. In the second triangle the hypotenuse is 30, and 0.8·30 = 24, so A′ is opposite the side of length 24.