High School

A triangle has an area of 38.4 cm\(^2\). The height of the triangle is 12.8 cm. What is the length of the base of the triangle?

Answer :

The length of the base of the triangle is 6 cm.

The given data of the triangle is as follows:

The area of the triangle = 38.4 cm squared

Height of the triangle = 12.8 cm

The formula for the area of a triangle is given:

Area of the triangle = (1/2) * base * height

Thus the formula for the base of the triangle will be:

Length of the base = ( 2 * area ) / height

Length of the base = (2 * 38.4) / 12.8

∴ Length of the base = 6 cm

From the above calculation and given values, the length of the base is found to be 6 cm.

To learn more about the properties of triangles,

brainly.com/question/2773823