Find the value of x. Round to the nearest tenth of the right triangle. hypotenuse is 25, bottom leg is 13, and angle is x

Mathematics · Middle School · Thu Feb 04 2021

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Given: hypotenuse = 25

Bottom leg, base = 13

Perpendicular, x = ?

 

We know,

(hypotenuse)² = (base)² + (Perpendicular)²

Now, putting values in formula,  we get

(25)² = (13)² + (x)²

225 = 169 + (x)²

Transposing 169 to other side,  we get 

(x)² = 225 - 169

(x)² = 49

taking square root of both sides, we get

x = 7

 

Hence, value of x is 7