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Natali5045456 [20]
2 years ago
5

Find the indicated side of the right triangle. 45° y y = 45% 88

Mathematics
1 answer:
Paul [167]2 years ago
4 0

The indicated side of the right triangle is 44\sqrt{2} =\frac{88}{\sqrt{2} }.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says:hypotenuse^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\

The question asks to find one of the legs (y). Then, you can find y applying the trigonometric ratio (sin 45°).

sin(45\°)=\frac{y}{88}

Like sin45° is equal to \frac{\sqrt{2} }{2}, you have

\frac{\sqrt{2} }{2} =\frac{y}{88}\\ \\ 2y=88\sqrt{2} \\ \\ y=44\sqrt{2} \\ \\ Thus\\ \\ y=\frac{88}{\sqrt{2}}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

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