Question

The area of the triangle below is2/15 square centimeters. What is the length of thebase? Express your answer as a fraction in simplest form.

Answer 1

Take into account that the area of a triangle is given by the following formula:

`A=(bh)/(2)`

where,

b: length of the base = ?

h: height = 2/5 cm

Solve the expression above for b, replace the values of A and h, and then simplify:

`\begin{gathered} b=(2A)/(h) \\ b=(2((2)/(15)cm^2))/((2)/(5)cm)=(2)/(3)cm \end{gathered}`

Hence, the length of the base is 2/3cm