# Basic Geometry : How to find the area of a right triangle

## Example Questions

### Example Question #51 : How To Find The Area Of A Right Triangle

Find the area of the triangle.

Explanation:

Recall how to find the area of a triangle:

Since this is a right triangle, the base and the height are the two leg lengths given.

### Example Question #52 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Since this is a right triangle, the base and the height are the two leg lengths given.

### Example Question #53 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Since this is a right triangle, the base and the height are the two leg lengths given.

### Example Question #54 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Since this is a right triangle, the base and the height are the two leg lengths given.

### Example Question #55 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

However, the question gives us the length of a height and the length of the hypotenuse. Thus, we will need to use the Pythagorean Theorem to find the length of the base.

Now, rewrite the equation to solve for the height.

Plug in the values of the hypotenuse and base to find the height.

Now, plug the values of the base and the height to find the area.

### Example Question #56 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Since this is a right triangle, the base and the height are the two leg lengths given.

### Example Question #57 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

### Example Question #58 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

### Example Question #59 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.

### Example Question #60 : How To Find The Area Of A Right Triangle

Find the area.

Explanation:

Recall how to find the area of a triangle:

Now, we have the height and the hypotenuse from the question. Use the Pythagorean Theorem to find the length of the base.

Substitute in the values of the height and hypotenuse.

Simplify.

Reduce.

Now, substitute in the values of the base and the height to find the area.

Solve.