Question

Find the measure of the missing side in the right triangle

Answer 1

`12.2\text{ ft}`

Explanation:

In any right triangles, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
`a^2+b^2=c^2`, where
`c` is the hypotenuse, or longest side).

In this case, the length we're solving for is the hypotenuse of the triangle and the two legs of the triangle are 7 and 10. Therefore, we have:

`7^2+10^2=c^2,\\49+100=c^2,\\c^2=149,\\c=√(149),\\c\approx \boxed{12.2\text{ ft}}`

Answer 2

12.2 ft because the Pythagorean theorem ( a^2 +b^2 = c^2) given this c is square root of 149 which is 12.2