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

Answer:

$h=4x^3+18$

Step-by-step 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 :

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

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