Question

find the area a. write your answer in exact simplest form. $a = \frac{1}{2}bh$ for $b = \frac{6}{7}$ yd and $h = \frac{7}{13}$ yd (area of a triangle) the area is

Explanation:

Step1: Substitute values into formula

Substitute $b = \frac{6}{7}$ and $h=\frac{7}{13}$ into $A=\frac{1}{2}bh$.
$A=\frac{1}{2}\times\frac{6}{7}\times\frac{7}{13}$

Step2: Simplify the expression

First, $\frac{1}{2}\times\frac{6}{7}=\frac{6}{14}=\frac{3}{7}$. Then $\frac{3}{7}\times\frac{7}{13}=\frac{3\times7}{7\times13}=\frac{3}{13}$.

Answer:

$\frac{3}{13}\text{ yd}^2$