Option A:
The value of x is 9.9 in.
Solution:
The given image is a triangle.
Base of the triangle = x
Height of the triangle = x
Area of the triangle = 49 sq. in
To find the value of x:
Area of the triangle = [tex]\frac{1}{2} bh[/tex]
Substitute the given values in the formula.
[tex]$\Rightarrow\frac{1}{2} \ bh=49[/tex]
[tex]$\Rightarrow\frac{1}{2} \ x \times x=49[/tex]
[tex]$\Rightarrow \frac{1}{2} \ x^2=49[/tex]
Multiply by 2 on both sides, we get
[tex]$\Rightarrow \ x^2=98[/tex]
[tex]$\Rightarrow \ x^2=7^2 \times 2[/tex]
Taking square root on both sides, we get
[tex]$\Rightarrow \ x= 7 \sqrt 2[/tex]
⇒ x = 9.9 in
Hence the value of x is 9.9 in.
Option A is the correct answer.
