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GED Math : Triangles

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Example Questions

Example Question #11 : Area Of A Triangle

Determine the area of the triangle if the base is 12 and the height is 20.

Possible Answers:

120

180

240

Correct answer:

120

Explanation:

Write the formula for the area of a triangle.

$A=\frac{BH}{2}$

Substitute the base and height into the equation.

$A=\frac{(12)(20)}{2} = 6(20) =120$

The answer is: 120

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Example Question #12 : Area Of A Triangle

Find the area of the triangle with a base of 6 and a height of 30.

Possible Answers:

120

180

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A= \frac{BH}{2}$

Substitute the base and height into the formula.

$A= \frac{6(30)}{2} = \frac{180}{2} = 90$

The answer is:

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Example Question #13 : Area Of A Triangle

What is the area of a triangle with a length of 2x^2 and a height of 3x^2-4 ?

Possible Answers:

6x^4-8x^2

3x^4-8x^2

3x^2-4x

6x^4-4x^2

3x^4-4x^2

Correct answer:

3x^4-4x^2

Explanation:

Write the formula for the area of a triangle.

$A =\frac{BH}{2}$

Substitute the dimensions.

$A =\frac{(2x^2)(3x^2-4)}{2} = (x^2)(3x^2-4)$

Expand the terms.

The answer is: 3x^4-4x^2

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Example Question #14 : Area Of A Triangle

Determine the area of a triangle with a base of 16 and a height of 12.

Possible Answers:

182

192

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A= \frac{BH}{2}$

Substitute the base and height into the equation.

$A= \frac{16(12)}{2} = 8(12) = 96$

The answer is:

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Example Question #44 : Triangles

Find the area of a triangle with a base of 7in and a height of 10in.

Possible Answers:

$35\text{in}^2$

$17\text{in}^2$

$27\text{in}^2$

$34\text{in}^2$

$70\text{in}^2$

Correct answer:

$35\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 7in. We know the height of the triangle is 10in. So, we can substitute. We get

$A = \frac{1}{2} \cdot 7\text{in} \cdot 10\text{in}$

$A = \frac{1}{2} \cdot 10\text{in} \cdot 7\text{in}$

$A = 5\text{in} \cdot 7\text{in}$

$A = 35\text{in}^2$

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Example Question #14 : Area Of A Triangle

Find the area of a triangle with a base of 14in and a height of 8in.

Possible Answers:

$24\text{in}^2$

$112\text{in}^2$

$56\text{in}^2$

$224\text{in}^2$

$30\text{in}^2$

Correct answer:

$56\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 14in. We know the height of the triangle is 8in. So, we substitute. We get

$A = \frac{1}{2} \cdot 14\text{in} \cdot 8\text{in}$

$A = 7\text{in} \cdot 8\text{in}$

$A = 56\text{in}^2$

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Example Question #21 : Area Of A Triangle

Determine the area of a triangle with a base of and a height of 6x^2 .

Possible Answers:

21x^3

42x^2

42x^3

21x^2

$\frac{13}{2}x^2$

Correct answer:

21x^3

Explanation:

Write the formula for the area of a triangle.

$A = \frac{bh}{2} = \frac{(7x)(6x^2)}{2} = 21x^3$

The answer is: 21x^3

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Example Question #22 : Area Of A Triangle

Find the area of a triangle with a base of 9in and a height that is two times the base.

Possible Answers:

$27\text{in}^2$

$20\text{in}^2$

$18\text{in}^2$

$81\text{in}^2$

$36\text{in}^2$

Correct answer:

$81\text{in}^2$

Explanation:

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 9in. We know the height is two times the base. Therefore, the height is 18in. So, we can substitute. We get

$A = \frac{1}{2} \cdot 9\text{in} \cdot 18\text{in}$

$A = \frac{1}{2} \cdot 18\text{in} \cdot 9\text{in}$

$A = 9\text{in} \cdot 9\text{in}$

$A = 81\text{in}^2$

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Example Question #41 : Triangles

Find the area of a triangle with a height of 40 and a base of 20.

Possible Answers:

400

1600

160

800

Correct answer:

400

Explanation:

Write the formula for the area of a triangle.

$A= \frac{bh}{2}$

Substitute the base and height into the equation.

$A= \frac{20(40)}{2} = \frac{800}{2} = 400$

The answer is: 400

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Example Question #42 : Triangles

Find the area of a triangle with a base of 6 and a height of 30.

Possible Answers:

180

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A= \frac{bh}{2} = \frac{6\times 30}{2} = 3\times 30 = 90$

The answer is:

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GED Math : Triangles

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Area Of A Triangle

Example Question #12 : Area Of A Triangle

Example Question #13 : Area Of A Triangle

Example Question #14 : Area Of A Triangle

Example Question #44 : Triangles

Example Question #14 : Area Of A Triangle

Example Question #21 : Area Of A Triangle

Example Question #22 : Area Of A Triangle

Example Question #41 : Triangles

Example Question #42 : Triangles

All GED Math Resources

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