Question

area of a triangle is 14x^5 + 63x^2. If the base is 7x^2, write an expression to represent the height ( x^2 means x square)

Answer 1

`h=4x^3+18`

Explanation:

Given that,

The area of a triangle,
`A=14x^5 + 63x^2`

Base,
`b=7x^2`

We need to find the height of the triangle.

The formula for the area of the triangle is given by :

`A=(1)/(2)* b* h\\\\\text{h is height}\\\\h=(2A)/(b)\\\\h=(2* (14x^5 + 63x^2))/(7x^2)\\\\h=(2* 7x^2(2x^3 + 9))/(7x^2)\\\\h=2(2x^3+9)\\\\=4x^3+18`

So, the height of the triangle is
`4x^3+18`.