Right triangle ABC has side lengths AB= tau.BC=24 and AC = 25 A second right triangle , A' * B' * C' has side lengths of 50, 14, and 48. Find the ratio of the side opposite angle A to the hypotenuse of triangle ABC Use this ratio to identify the location of point A' in the second right triangle . (1 point ) The ratio of the opposite side to the hypotenuse is 0.96 , and point A' is opposite the side that has length 14 The ratio of the opposite side to the hypotenuse is 0.28 , and point A' is opposite the side that has length 14 The ratio of the opposite side to the hypotenuse is 1.04 , and point A' is opposite the side that has length 48 . The ratio of the opposite side to the hypotenuse is 0.96 , and point A' is opposite the side that has length 48
In triangle ABC, we are given AB = τ, BC = 24, and AC = 25.
We can use the Pythagorean theorem to find the length of side AB by squaring side BC and side AC.
AB^2 + BC^2 = AC^2
(τ)^2 + 24^2 = 25^2
τ^2 + 576 = 625
τ^2 = 625 - 576
τ^2 = 49
AB = √49
AB = 7
Therefore, the length of side AB is 7.
Now, let's consider the ratio of the side opposite angle A to the hypotenuse of triangle ABC.
The ratio of the opposite side to the hypotenuse is given as 0.96, and point A' is opposite the side that has a length of 14 in triangle A'B'C'.
In triangle ABC, the side opposite angle A is BC, which has a length of 24.
Therefore, the ratio of the side opposite angle A to the hypotenuse is 24/25 = 0.96.
From the given information, we can conclude that the ratio of the side opposite angle A to the hypotenuse of triangle ABC is 0.96, and point A' is opposite the side that has a length of 14 in triangle A'B'C'.