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

Example Questions

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Example Question #1 : How To Find The Area Of A Triangle

What is the area of a triangle with a base of 8 and a height of 3?

Explanation:

The area of a triangle is . We know that our base is 8 and our height is 3.

In this case, the equation is . Now we can solve this equation.

Example Question #1 : How To Find The Area Of A Triangle

What is the area of a triangle that has a base of 7 and a height of 10?

Explanation:

To find the area of a triangle, we use . We know the height of the triangle is 10 and the base is 7.

Example Question #41 : Triangles

What is the area of a triangle with a base of 7cm and a height of 4cm?

Explanation:

Use the formula for the area of a triangle

to solve this problem. Plug in and you get .

Example Question #685 : Geometry

The height of a triangle is  ft. The base is  ft. What is the area of the triangle?

Explanation:

The formula for finding the area of a triangle is . Multiply the base times the height first. . Then, either multiply   , or simply divide . Therefore the answer is .

Example Question #42 : Triangles

A right triangle has a base of 4 and a height of 7.

What is the triangle's area?

Explanation:

An area of a triangle is

In this case

Example Question #6 : How To Find The Area Of A Triangle

If the base of a triangle is 12 cm, and the height of the triangle is 4 cm, what is the total area of the triangle?

Explanation:

First, you must remember the formula for the area of a triangle .

Plug in the given values: .

Multiply to get 24. Since this is area, the units must be sqaured. Therefore, your final answer is .

Example Question #453 : Plane Geometry

What is the area of the right triangle in the following figure?

Explanation:

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is  as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

Example Question #1 : Geometry

What is the area of the right triangle in the following figure?

Explanation:

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is  as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

Example Question #455 : Plane Geometry

What is the area of the right triangle in the following figure?

Explanation:

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is  as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

Example Question #1 : Geometry

What is the area of the right triangle in the following figure?

Explanation:

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is  as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

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