Question

Find the value of x. If necessary, round to the nearest tenth.

A. 11.7 in.

B. 9.7 in.

C. 13.7 in.

D. 6.9 in.

Answer 1

area of a triangle = 1/2 x base x height
47 = 1/2(x)(x)
1/2x² = 47
x² = 94
x = √94
= 9.7 (to the nearest tenth)

The value of x is 9.7 inches, rounded to the nearest tenth.

Answer 2

B. 9.7 in.

Explanation:

We have been given an image of a triangle. We are asked to find the value of x.

We will use area of triangle formula to solve our given problem.

`\text{Area of triangle}=(1)/(2)* \text{Base*Height}`

`47\text{ in}^2=(1)/(2)* x*x`

`2*47\text{ in}^2=(1)/(2)*2* x^2`

`94\text{ in}^2=x^2`

Taking square root of both sides we will get,

`x=\sqrt{94\text{ in}^2}`

`x=9.6953597\text{ in}\approx 9.7\text{ in}`

Therefore, the value of x is 9.7 inches and option B is the correct choice.