Question

Diana has an end table in the shape of a right triangle. The triangular tabletop is twice as high as it is wide at the base. If the area of the tabletop is 4 square feet (4ft2), what is the width of the base of this triangular tabletop in feet?

Answer 1

The width of the base is 2.828 feet

Step-by-step explanation:

Given the area of the table top is 4 square feet

The triangular table top is twice as high as it is wide at the base

Therefore, we can say that height = base

Area of a right angled triangle is calculated by, Area = ½ * base * height

In this case, height = base

Therefore, area =
`(1)/(2)* (base)^2`

Substituting the values,

4 =
`(1)/(2)* (base)^2`

`(base)^2` = 8

Base = 2√2 = 2 * 1.414 = 2.828 feet

Therefore, the width of the base is 2.828 feet