Question

A= 47 sq. in.

Find the value of x. If necessary, round to the nearest tenth.

Answer 1

9.70 inches

Explanation:

Area of a triangle is equal to base times height divided by 2.

`bh/2`

Base and height is x.

`xx/2=47`

Solve for x.

`x^2=47 * 2`

`x^2=94`

`x=√(94)`

`x=9.69536`

Answer 2

x = 9.7

Explanation:

The area of a triangle is A = b * h / 2 where A, b, and h are the area, base and height respectively. We know that A, b, and h equal 47, x, and x respectively so we can write:

47 = x * x / 2

47 = x² / 2

94 = x²

x = ±√94

In context, x can't be negative so the answer is x = √94 = 9.7.