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ISEE Lower Level Math : Triangles

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Example Questions

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Example Question #301 : Plane Geometry

Find the area of a triangle with a base of 9in and a height of 12in.

Possible Answers:

$27\text{in}^2$

$33\text{in}^2$

$21\text{in}^2$

$108\text{in}^2$

$54\text{in}^2$

Correct answer:

$54\text{in}^2$

Explanation:

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

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

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

Now, we know the base of the triangle is 9in. We also know the height of the triangle is 12in.

Knowing this, we can substitute into the formula We get

$\text{area of triangle} = \frac{1}{2} \cdot 9\text{in} \cdot 12\text{in}$

Now, we can simplify things before we multiply to make things easier. The 2 in the denominator of the fraction and the 12 can both be divided by 2. So, we get

$\text{area of triangle} = \frac{1}{1} \cdot 9\text{in} \cdot 6\text{in}$

$\text{area of triangle} = 9\text{in} \cdot 6\text{in}$

$\text{area of triangle} = 54\text{in}^2$

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Example Question #32 : Triangles

Find the area of a triangle with a base of 4ft and a height that is two times the base.

Possible Answers:

$16\text{ft}^2$

$24\text{ft}^2$

$8\text{ft}^2$

$32\text{ft}^2$

$4\text{ft}^2$

Correct answer:

$16\text{ft}^2$

Explanation:

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

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

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

Now, we know the base of the triangle is is 4ft. We also know the height of the triangle is two times the base. Therefore, the height is 8ft.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 4\text{ft} \cdot 8\text{ft}$

$\text{area of triangle} = 2\text{ft} \cdot 8\text{ft}$

$\text{area of triangle} = 16\text{ft}^2$

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Example Question #33 : Triangles

Use the following triangle to answer the question.

Triangle7

If the triangle has a height of 7cm, find the area.

Possible Answers:

$32\text{cm}^2$

$24\text{cm}^2$

$16\text{cm}^2$

$28\text{cm}^2$

$14\text{cm}^2$

Correct answer:

$14\text{cm}^2$

Explanation:

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

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

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

Now, given the triangle

Triangle7

We can see the base is 4cm. We also know the height is 7cm.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 4\text{cm} \cdot 7\text{cm}$

$\text{area of triangle} = 2\text{cm} \cdot 7\text{cm}$

$\text{area of triangle} = 14\text{cm}^2$

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Example Question #31 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 9cm and a height of 8cm.

Possible Answers:

$17\text{cm}^2$

$72\text{cm}$

$36\text{cm}$

$72\text{cm}^2$

$36\text{cm}^2$

Correct answer:

$36\text{cm}^2$

Explanation:

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

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

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

Now, we know the base is 9cm and the height is 8cm.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 9\text{cm} \cdot 8\text{cm}$

$\text{area of triangle} = 9\text{cm} \cdot 4\text{cm}$

$\text{area of triangle} = 36\text{cm}^2$

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Example Question #35 : Triangles

The base of a triangle is inches, and the height of the triangle is 3.5 inches. What is the area of the triangle?

Possible Answers:

24.25 $\textup{in.}^2$

24.5 $\textup{in.}^2$

12.25 $\textup{in.}^2$

12.20 $\textup{in.}^2$

10.25 $\textup{in.}^2$

Correct answer:

12.25 $\textup{in.}^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

7 * 3.5 = 24.5

24.5/2 = 12.25

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Example Question #36 : Triangles

The base of a triangle is 4.4 inches, and the height of the triangle is 2.3 inches. What is the area of the triangle?

Possible Answers:

10.06 $\textup{in.}^2$

5.06 $\textup{in.}^2$

6.06 $\textup{in.}^2$

5.12 $\textup{in.}^2$

10.12 $\textup{in.}^2$

Correct answer:

5.06 $\textup{in.}^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

4.4 * 2.3 = 10.12

10.12/2 = 5.06

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Example Question #37 : Triangles

The base of a triangle is 2.2 inches, and the height of the triangle is 1.1 inches. What is the area of the triangle?

Possible Answers:

1.21 $\textup{in.}^2$

2.42 $\textup{in.}^2$

1.42 $\textup{in.}^2$

3.42 $\textup{in.}^2$

2.40 $\textup{in.}^2$

Correct answer:

1.21 $\textup{in.}^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

2.2 * 1.1 = 2.42

2.42/2 = 1.21

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Example Question #38 : Triangles

The base of a triangle is inches, and the height of the triangle is inches. What is the area of the triangle?

Possible Answers:

$\textup{in.}^2$

Correct answer:

$\textup{in.}^2$

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

5 * 8 = 40

40/2 = 20

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Example Question #39 : Triangles

Find the area of a triangle with the following measurements:

height: 9cm
base: 12cm

Possible Answers:

$54\text{cm}^2$

$84\text{cm}^2$

$108\text{cm}^2$

$72\text{cm}^2$

$36\text{cm}^2$

Correct answer:

$54\text{cm}^2$

Explanation:

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

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

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

Now, we know the base of the triangle is 12in. We also know the height of the triangle is 9in.

Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = \frac{1}{2} \cdot 12\text{in} \cdot 9\text{in}$

$\text{area of triangle} = 6\text{in} \cdot 9\text{in}$

$\text{area of triangle} = 54\text{in}^2$

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Example Question #40 : Triangles

Find the area of a triangle with a base of 6cm and a height that is two times the base.

Possible Answers:

$36\text{cm}^2$

$52\text{cm}^2$

$30\text{cm}^2$

$72\text{cm}^2$

$48\text{cm}^2$

Correct answer:

$36\text{cm}^2$

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 6cm. We also know the height of the triangle is two times the base. Therefore, the height is 12cm.

Knowing this, we can substitute into the formula. We get

$A = \frac{1}{2} \cdot 6\text{cm} \cdot 12\text{cm}$

$A = 3\text{cm} \cdot 12\text{cm}$

$A = 36\text{cm}^2$

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ISEE Lower Level Math : Triangles

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #301 : Plane Geometry

Example Question #32 : Triangles

Example Question #33 : Triangles

Example Question #31 : How To Find The Area Of A Triangle

Example Question #35 : Triangles

Example Question #36 : Triangles

Example Question #37 : Triangles

Example Question #38 : Triangles

Example Question #39 : Triangles

Example Question #40 : Triangles

All ISEE Lower Level Math Resources

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