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

## Example Questions

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### Example Question #81 : How To Find The Area Of A Right Triangle

The diameter of the circle is , what is the area of the shaded region?

Explanation:

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

### Example Question #82 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

Explanation:

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

### Example Question #83 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

Explanation:

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

### Example Question #84 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

Explanation:

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

### Example Question #85 : How To Find The Area Of A Right Triangle

A triangle has a height of 5 inches and a base of 10 inches. What is the area of this triangle?

None of these.

Explanation:

The area of a right triangle can be found by .

### Example Question #86 : How To Find The Area Of A Right Triangle

Triangle ABC has the given side lengths. Find the area of triangle ABC.

Explanation:

Imagine a right triangle as a square cut in half at a diagonal angle.

When figuring out the area, you figure it out the same way as finding the area of a square, but after multiplying length x widthdivide the answer by 2.

### Example Question #87 : How To Find The Area Of A Right Triangle

Find the area, ,  of a right triangle  whose sides are .

Explanation:

The formula for the area of a right triangle is

.

Plugging in the values given,

.

### Example Question #88 : How To Find The Area Of A Right Triangle

In the right triangle shown here,  and . What is its area in square units?