Answer: a) 8.9 in.
Step-by-step explanation:
From the given picture it can be seen that the area of the triangle A = 40 sq. in.
The height of triangle = base of the triangle =x
We know that the area of triangle is given by :-
[tex]A=\frac{1}{2}\times base \times height\\\\\Rightarrow\ 40=\frac{1}{2}(x)(x)\\\\\Rightarrow\ 2\times40=x^2\\\\\Rightarrow\ x^2=80\\\\\Rightarrow\ x=\sqrt{80}=8.94427191\approx8.9\ in.[/tex]
Hence, the value of x = 8.9 in.
