Answer:
5.7 feet
Step-by-step explanation:
Given:
[tex]\text{Height of triagle: 5 ft}[/tex]
Formula;
[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the formula;
[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
Use cross multiplication;
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
Simplify the left hand side;
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
[tex]\implies28.5= \text{Base} \times 5[/tex]
Divide both sides of the equation by 5;
[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]
[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]
Therefore, the measure of the base is 5.7 feet.
