Question

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

7.3 in.

10.4 in.

5.2 in.

8.8 in.

Answer 1

7.3 in

Explanation:

area = 27 = 54/2 = (x^2)/2

so what squared is 54?

7.34 whatever inches.

round it down, that's 7.3.

Answer 2

Answer: 7.3 in

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 =
`(1)/(2)` base × height

27 =
`(1)/(2)` × x × x

27 =
`(1)/(2)` × x²

27 =
`(x^(2) )/(2)`

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.