# ISEE Lower Level Math : How to find the area of a triangle

## Example Questions

### Example Question #311 : Geometry

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

Explanation:

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

### Example Question #312 : Geometry

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

Explanation:

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

### Example Question #313 : Geometry

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

Explanation:

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

First multiply the base and the height together:

Then divide the product by two:

### Example Question #314 : Geometry

Find the area of a triangle with a base of length 12cm and a height that is half the base.

Explanation:

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

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

Now, we know the base is 12cm.  We also know that the height is half the base.  Therefore, the height is 6cm.  Knowing this, we can substitute into the formula.  We get

### Example Question #315 : Geometry

Find the area of a triangle with a base of 3 feet and a height that is two times the base.

Explanation:

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

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

Now, we know the base of the triangle is 3 feet.  We also know the height of the triangle is two times the base.  Therefore, the height is 6 feet.  Knowing all of this, we can substitute into the formula.  We get

### Example Question #21 : How To Find The Area Of A Triangle

What is the area of a equilateral triangle with a side length of  and a height of ?

Cannot be determined

Explanation:

An equilateral triangle has three equal length sides so all the sides must be .

The area of a triangle is

.

The base is  and the height is  so,

### Example Question #21 : How To Find The Area Of A Triangle

Find the area of a triangle with a base of 6cm and a height of 7cm.

Explanation:

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

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

So, we know the base is 6cm and the height is 7cm.  Knowing this, we can substitute into the formula.  We get

### Example Question #22 : Triangles

Find the area of a triangle with a base of 3in and a height that is two times the base.

Explanation:

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

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

Now, we know the base of the triangle is 3in.  We also know the height of the triangle is two times the base.  Therefore, the height is 6in.  Knowing this, we can substitute into the formula.  We get

### Example Question #301 : Plane Geometry

Use the following triangle to answer the question:

Find the area of the triangle if it has a height of 8 inches.

Explanation:

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

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

Now, let's look at the triangle

We can see the base is 3in.  We also know it has a height of 8in.

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

### Example Question #23 : Triangles

Use the following triangle to answer the question:

If the triangle has a height of 9ft, find the area.

Explanation:

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

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

Now, given the triangle

we can see the base is 4ft.  We also know it has a height of 9ft.

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