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

The Area Of The Triangle Below Is 1425 Square Feet What Is The Length Of The Base class=

Sagot :

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.

Sk12699idn

Answer:

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

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