Question

A triangular banner has an area 2000 square yards. Find the measures of the base and height of the triangle if the base is five-eighths of the height. What are the units of measurement.

Answer 1

Height = 80 yds

Base = 50 yds

Explanation:

Given:

Area = 2000 square yards

Height = h

Base = 5/8h

We can calculate the value of the height using the triangle area formula, just like this:

`\begin{gathered} A=(b\cdot h)/(2) \\ \text{ We replacing} \\ 2000=(h\cdot (5)/(8)h)/(2) \\ h^2=(2000\cdot2\cdot8)/(5) \\ h=√(6400) \\ h=80\text{ yd} \\ \text{ therefore, the base is:} \\ b=(5)/(8)\cdot80 \\ b=50\text{ yd} \end{gathered}`

Height = 80 yds

Base = 50 yds