Question

The area of the triangle, shown below, is 39 c m 2. What is the height of the triangle? 

Answer 1

Area =

$A\text{ = }\frac{1}{2}\times b\times h$

where A is the area

b is the base

h is the height

From the figure

A = 39

b =13

substitute the values into the formula and solve for h

$39=\frac{1}{2}\times13\times h$$39=\frac{13h}{2}$

cross multiply

78 = 13h

Divide both-side of the equation by 13

h = 6

The height of the triangle is 6 cm