Question

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

Answer 1

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

RIGHT TRIANGLE

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

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