Answer: 7.3 in
Step-by-step explanation:
To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.
From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is 27 sq. in
Area of a triangle = [tex]\frac{1}{2}[/tex] base × height
27 = [tex]\frac{1}{2}[/tex] × x × x
27 = [tex]\frac{1}{2}[/tex] × x²
27 = [tex]\frac{x^{2} }{2}[/tex]
cross multiply
2 × 27 = x²
54 = x²
Take the square roots of both-side
√54 = √x²
7.3 = x
x = 7.3
Therefore the value of x is 7.3 in.
