Question

find the area a. write your answer in exact simplest form. a = \frac{1}{2}bh for b = \frac{4}{5} yd and h = \frac{15}{17} yd (area of a triangle) the area is .

Explanation:

Step1: Substitute values into formula

Substitute $b = \frac{4}{5}$ and $h=\frac{15}{17}$ into $A=\frac{1}{2}bh$. So $A=\frac{1}{2}\times\frac{4}{5}\times\frac{15}{17}$.

Step2: Multiply the fractions

First, $\frac{1}{2}\times\frac{4}{5}=\frac{1\times4}{2\times5}=\frac{4}{10}=\frac{2}{5}$. Then $\frac{2}{5}\times\frac{15}{17}=\frac{2\times15}{5\times17}=\frac{30}{85}$.

Step3: Simplify the fraction

Simplify $\frac{30}{85}$ by dividing both numerator and denominator by 5. $\frac{30\div5}{85\div5}=\frac{6}{17}$.

Answer:

$\frac{6}{17}$ yd²