Question

Solve the equation to find x. Area = 15 in. 6 in.

Answer 1

We know that the area A of a triangle is given by

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

where b is the base and h is the height.

Now in our case the area A = 15 in^2, h = 6 in, and b = x; therefore, the above equation gives

`15=(1)/(2)\cdot6\cdot x`

multiplying both sides by 2 gives

`30=6x`

Finally, dividing both sides by 6 gives

`x=(30)/(6)`
`x=5`

Hence, x = 5 in, which is our answer!