0 like 0 dislike
The area of the triangle below is 14.25 square feet. What is the length of the base?

0 like 0 dislike
5.7 feet

Step-by-step explanation:

The area formula for a triangle: A=(1/2) Base x Height

1. What we know: 14.25=(1/2)Base x 5

2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.

3. The last thing we have to do is divide 5: 5.7=base.

4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25
by
0 like 0 dislike
5.7 feet

Step-by-step explanation:

Given:

$$\text{Height of triagle: 5 ft}$$

Formula;

$$\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}$$

Substitute the height and the area in the formula;

$$\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}$$

$$\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5$$

Use cross multiplication;

$$\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5$$

$$\implies14.25 \times 2= \text{Base} \times 5$$

Simplify the left hand side;

$$\implies14.25 \times 2= \text{Base} \times 5$$

$$\implies28.5= \text{Base} \times 5$$

Divide both sides of the equation by 5;

$$\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}$$

$$\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}$$

Therefore, the measure of the base is 5.7 feet.
by