Question

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

Answer 1

Answer:

B. 9.7 in.

Step-by-step 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.  

$\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}$

$47\text{ in}^2=\frac{1}{2}\times x*x$

$2*47\text{ in}^2=\frac{1}{2}*2\times x^2$

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

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.

Answer 2

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.