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

Answer:

$3\frac{2}{9} units$

Step-by-step explanation:

We are given;

Area of a triangle as $5\frac{4}{5}$ square units

The base is $3\frac{3}{5}$ 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;

$Area = 0.5*3\frac{3}{5}*h$

But, Area $=5\frac{4}{5}$

Therefore;

$5\frac{4}{5}=0.5*3\frac{3}{5}*h$

$5\frac{4}{5}=1\frac{4}{5}*h$

Therefore;

$h=5\frac{4}{5}/1\frac{4}{5}$

$h=3\frac{2}{9}$

Therefore, the length of the height is $3\frac{2}{9}$ units