Mathematics

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.
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.

2 Answer

  • 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:

    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.