Question

The triangle has an area of 7\frac{7}{8}7 8 7 ​ cm2 and a base of 5\frac{1}{4}5 4 1 ​ cm. What is the length of h? Explain your reasoning.

Answer 1

3cm

Explanation:

Area of a triangle = 1/2 * base * height

Given

Area = 7 7/8cm²

Base = 5 1/4 cm

Required

Height of the triangle

Substitute;

7 7/8 = 1/2 * 5 1/4 * Height

63/8 = 1/2 * 21/4 * h

63/8 = 21H/8

63 = 21H

H = 63/21

H = 3cm

Hence the length of h is 3cm