# Pre-Algebra : Area of a Triangle

## Example Questions

### Example Question #91 : Geometry

Find the area of a triangle in yards if the side lengths of the triangle are 36 inches, 3 feet, and 1 yard.

Explanation:

First convert all the dimensions to yards.  There are 3 feet in 1 yard, and 12 inches in 1 foot.

The side lengths of the triangle are 1 yard by 1 yard by 1 yard.  We can then see that this is an equilateral triangle.

Write the formula for the area of an equilateral triangle.

Substitute the side.

### Example Question #99 : Geometry

A right triangle has a base of 6 and a height of 10.  What is the area of the triangle?

Explanation:

Write the formula for the area of a triangle.  The area is half the product of the base and the height.

Substitute the base and height into the equation.

The area of the triangle is 30.

### Example Question #100 : Geometry

Solve for the area of a right triangle if the hypotenuse is  and the height is .

Explanation:

Write the area formula for triangles.

The base is unknown.  To find this dimension, use the Pythagorean Theorem.

Substitute the hypotenuse into  and the height into .  Solve for the base.

Isolate the variable  by subtracting  on both sides of the equation.

Simplify the squares on the right side of the equation.

Subtract the left side.

Square root both sides of the equation to eliminate the square root.

We will only consider the positive root because length cannot be a negative value.

The base is 8.  Substitute the base and height to find the area.

### Example Question #21 : Area Of A Triangle

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

Explanation:

Write the formula for finding the area of a triangle.

Substitute the base and the height.

Multiply the numerator.

Divide by two.

The area is:

### Example Question #21 : Area Of A Triangle

Find the area with a base of  and a height of .

Explanation:

Write the formula for the area of a triangle.

Substitute the base and the height.

Cancel out the two in the numerator and denominator.

Multiply both terms together.

### Example Question #51 : Geometry

What is the area (in square feet) of a triangle with a base of  feet and a height of  feet?

Explanation:

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

### Example Question #21 : Area Of A Triangle

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

Explanation:

The formula for the area of a triangle is .

Plug the given values into the formula to solve:

### Example Question #22 : Area Of A Triangle

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.

### Example Question #24 : Area Of A Triangle

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

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two.

### Example Question #23 : Area Of A Triangle

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

square inches

square inches

square inches

square inches

square inches