What is the value of x to the nearest tenth?


a. 9.7 b. 8.1 c. 5.9 d. 7.9

A) x = 9.7

Step-by-step explanation:

Given  : A triangle

To find : What is the value of x to the nearest tenth.

Solution : We have given a triangle with hypotenuse = 12 units,

Opposite side = 7 , adjacent = x.

By the Pythagorean  theorem :

(hypotenuse )² = ( adjacent )² + ( opposite)².

Plug the values

(12)² = ( x )² + ( 7)².

144 =  ( x )² +  49.

On subtracting both sides by 49.

144 -49 =  ( x )²

95 =  ( x )²

Taking square root

√95 = x.

x = 9.7

Therefore, A) x = 9.7

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