Question

The area of this triangle is

56
c
m
2
and the height is 7 cm. Find the base.

Choose the correct answer from the selection below.

Answer 1

Base = 16 cm

Explanation:

Area of triangle is given by:

Area of Triangle =
`(1)/(2)bh`

Where
`b` is the base and
`h` is the height.

The problem says that area is 56 (
`A=56`) and height is 7 (
`h=7`)

Plugging in the values we can solve for base:

`A=(1)/(2)bh\\56=(1)/(2)b(7)\\56=(7)/(2)b\\b=(56)/((7)/(2))=56*(2)/(7)=16`

Hence, the base of the triangle is 16 cm