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O GEOMETRY Pythagorean Theorem For the following right triangle, find the side length x. Round your answer to the nearest hundredth. 10 X Ú

O GEOMETRY Pythagorean Theorem For the following right triangle, find the side length-example-1

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ANSWER

x = 8

Step-by-step explanation

Here we have a right triangle. The lengths of two sides are given and we have to find the length of the third side. To do so, we will use the Pythagorean Theorem,


c^2=a^2+b^2

Where a and b are the legs, and c is the hypotenuse.

The hypotenuse of a right triangle is always the longest side, which is the side opposite to the right angle. In this case, the hypotenuse is 10 units long, one of the legs is 6 units long and we have to find the length of the other leg, x,


10^2=x^2+6^2

Solving for x,


x=√(10^2-6^2)=√(100-36)=√(64)=8

Hence, the value of x is 8.

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