Question

A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning

Answer 1

Answer: 3 in.

Explanation:

Given

The base of the triangle is
`3(2)/(5)\ inches`

The area of the triangle is
`5(1)/(10)\ inches^2`

Solve mixed fraction

Base is

`=3(2)/(5)\\\\=(17)/(5)\ in.`

Area is

`=5(1)/(10)\\\\=(51)/(10)\ in.^2`

The area of the triangle is given by

`\Rightarrow \text{Area A=}(1)/(2)* \text{base}* \text{height}`

Insert the values to get the height

`\Rightarrow (51)/(10)=(1)/(2)* (17)/(5)* \text{height}\\\\\Rightarrow \text{height}=3\ in.`