# ISEE Lower Level Math : Triangles

## Example Questions

### Example Question #1 : Triangles

The base of triangle ABC is , it's height . What is the triangle's area?

Explanation:

### Example Question #2 : Triangles

What is the area of a triangle that has a base of  and a height of

Explanation:

In order to find the area of a triangle, we must use the formula

So the first thing we must do is multiply the base and height.

The next thing we must do is find  of  through multiplication.

### Example Question #3 : Triangles

Find the area of the triangle:

Explanation:

### Example Question #4 : Triangles

A triangle has an area of 36 in.2. if its base is 6 in., what is its height?

Explanation:

To find the height of the triangle, you must need to plug in what you know (the area and the base of the triangle) into the formula to find the area of the triangle:

Now that you plugged in the area and the base into the formula to find the area of a triangle, you can solve for the height:

Multiply both sides by 2 (the reciprocal of 1/2) to get rid of the fraction

Divide both sides by 6 to find the height

Remember that  is the same as

### Example Question #5 : Triangles

A triangle has a base that is 8 cm. and a height that is 12 cm. What is the area of this triangle?

Explanation:

To find the area of the triangle, we need to plug in what we know (the base and the height) into the formula to find the area of the triangle:

We can know solve for

### Example Question #6 : Triangles

Find the height of the triangle.

If the base of a triangle is  and the area is , what is the height of the triangle?

Explanation:

Area of a triangle is

Set up the equation, then solve:

so

### Example Question #7 : Triangles

A triangle has a base of 7 and a height of 4. What is the area of the triangle?

None of these

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2.

Plugging in the appropriate values for this equation gives us:

This reduces to:

This is equal to 14, the correct answer.

### Example Question #8 : Triangles

A triangle has a base of 8 inches and a height of 4 inches. What is the area in square inches?

Explanation:

The area of a triangle can be calculated using this formula:

When inputting the base and height information, the equation looks like this:

### Example Question #9 : Triangles

The area of a triangle is 12 square inches. It has a height of 4 inches. What is the triangle's base, in inches?

Explanation:

The area of a triangle is:

Given that the area is 12 and the base is 4, this gives us:

This reduces to:

### Example Question #10 : Triangles

If a triangle has a base of 1 foot, and a height of half a foot, what is the area in square inches?