Question

The area of Triangle C is 54/5 square units. What is the length of h? The base is 3 and 3/5.

Answer 1

`3(2)/(9) units`

Explanation:

We are given;

Area of a triangle as
`5(4)/(5)` square units

The base is
`3(3)/(5)` units

We are supposed to determine the height of the triangle;

We know that the area of a triangle is given by the formula;

Area = 0.5 × b × h

Therefore, in this case;

`Area = 0.5*3(3)/(5)*h`

But, Area
`=5(4)/(5)`

Therefore;

`5(4)/(5)=0.5*3(3)/(5)*h`

`5(4)/(5)=1(4)/(5)*h`

Therefore;

`h=5(4)/(5)/1(4)/(5)`

`h=3(2)/(9)`

Therefore, the length of the height is
`3(2)/(9)` units