Question

The area of a triangle is 10 square cm. The base is LaTeX: 2\:\frac{1}{2}2 1 2 cm. Find the height.

Answer 1

`Height = 40`

Explanation:

Given

Shape: Triangle

`Area = 10cm^2`

`Base = (1)/(2)cm`

Required

Determine the height

Area of a triangle is calculated as:

`Area = (1)/(2) * Base * Height`

Substitute values for Area and Base

`10= (1)/(2) * (1)/(2)* Height`

`10= (1)/(4)* Height`

Multiply both sides by 4

`4 * 10= 4 * (1)/(4)* Height`

`4 * 10= Height`

`40= Height`

`Height = 40`

Hence, the height is 40cm