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.
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base*Height}[/tex]
[tex]47\text{ in}^2=\frac{1}{2}\times x*x[/tex]
[tex]2*47\text{ in}^2=\frac{1}{2}*2\times x^2[/tex]
[tex]94\text{ in}^2=x^2[/tex]
Taking square root of both sides we will get,
[tex]x=\sqrt{94\text{ in}^2}[/tex]
[tex]x=9.6953597\text{ in}\approx 9.7\text{ in}[/tex]
Therefore, the value of x is 9.7 inches and option B is the correct choice.
