Question

The area of a triangle is 15 square inches

Answer 1

6 inches

Explanation:

The formula for the area of a triangle is

`Area = (1)/(2) (bh)`

b - base

h - height

the first step is to add the information that we know into the formula.

We know the area =
`15 inches^(2)` and the height = 5 inches

`15 in^(2) = (1)/(2) (b)(5)`

if we had both the base and the height, the next step would be to multiply

b x h then half the answer to work out the area but as we already have the area (
`15in^(2)`) we need to work in reverse.

15 x 2 = 30

what is 5 multiplied by to get 30?

5 x ? = 30

30 ÷ 5 = 6

∴ the base = 6inches

to check if our answer is correct, we can place these numbers into the formula

A =
`(1)/(2) (6)(5)`

A =
`(1)/(2) (30)` (30 ÷ 2 = 15)

A = 15
`in^(2)`

I hope this was helpful :-)