Question

1.The area of Triangle B is 8 square units. Find the length of b. Show your reasoning.2The area of Triangle C is 545 square units. What is the length of h? Show your reasoning.

Answer 1

Given:

The area of the triangle B is 8 square units. And height of the triangle is 8/3 unit.

$\begin{gathered} A=8unit^2 \\ h=\frac{8}{3}unit \end{gathered}$

Required:

To find the value of b.

Explanation:

The formula for area of triangle is

$A=\frac{bh}{2}$

Now

$\begin{gathered} 8=\frac{1}{2}\times\frac{8}{3}\times b \\ \\ 8=\frac{8}{6}b \\ \\ b=8\times\frac{6}{8} \\ \\ b=6unit \end{gathered}$

Final Answer:

The value of b is

$b=6unit$