Question

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle? If b represents the length of the base in mm, the equation that represents this problem is . The base of the triangle is mm.

Answer 1

Answer: Equation that represents this problem is
`2b+5=74`

The base of the triangle is 34.5 mm.

Explanation:

Let b represents the base length of the triangle in mm.

Given : The height of a triangle is 5 more than double the base length.

i.e. Height = 2b+5

If the height of the triangle is 74 mm, then the equation that represents this problem is
`2b+5=74`

To find b , first subtract 5 from both sides of the equation, we get

`2b=69\\\\\Rightarrow\ b=34.5` [Divide both sides by 2]

Hence, the base of the triangle is 34.5 mm.