Area Of Triangles

1. 1. What does the letter b stand for in the formula A = bh

Area

Base

Height

Length

In the formula A = bh, the letter b represents the base. The base is the bottom side or surface of a shape, such as a triangle or rectangle, on which the height is measured. In this formula, multiplying the base (b) by the height (h) gives the area (A) of the shape.

Explanation

In the formula A = bh, the letter b represents the base. The base is the bottom side or surface of a shape, such as a triangle or rectangle, on which the height is measured. In this formula, multiplying the base (b) by the height (h) gives the area (A) of the shape.

2. 5. The area of a parallelogram is 56 square meters. What will be the area of the triangles that can be formed from this parallelogram?

Each triangle will have an area of 112 square meters.

There is no way to determine the area of the triangles formed from the parallelogram.

The area of each triangle will be 56 square meters divided by 2.

The area of each triangle will be 56 square meters divided by 3.

The area of a parallelogram can be divided into two congruent triangles by drawing a diagonal. Since the area of the parallelogram is 56 square meters, the area of each triangle will be half of that, which is 56 square meters divided by 2.

Explanation

The area of a parallelogram can be divided into two congruent triangles by drawing a diagonal. Since the area of the parallelogram is 56 square meters, the area of each triangle will be half of that, which is 56 square meters divided by 2.

3. 2. If a triangle has a base of 8 inches and a height of 4.5 inches, what is its area?
SHOW ALL WORK!

18 inches

36 square inches

18 square inches

36 inches

The formula to calculate the area of a triangle is (base * height) / 2. Plugging in the values given in the question, we get (8 * 4.5) / 2 = 36 / 2 = 18 square inches.

Explanation

The formula to calculate the area of a triangle is (base * height) / 2. Plugging in the values given in the question, we get (8 * 4.5) / 2 = 36 / 2 = 18 square inches.

4. 3. If a triangle has an area of 24 square cm, what is its base if the height is 3 cm?

16 square centimeters

16 centimeters

8 square centimeters

8 centimeters

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this question, the area is given as 24 square cm and the height is given as 3 cm. To find the base, we can rearrange the formula to solve for it. By substituting the given values into the formula, we get 24 = (base * 3) / 2. Multiplying both sides of the equation by 2 and dividing by 3, we find that the base is equal to 16 centimeters.

Explanation

The area of a triangle is calculated by multiplying the base by the height and dividing the result by 2. In this question, the area is given as 24 square cm and the height is given as 3 cm. To find the base, we can rearrange the formula to solve for it. By substituting the given values into the formula, we get 24 = (base * 3) / 2. Multiplying both sides of the equation by 2 and dividing by 3, we find that the base is equal to 16 centimeters.

5. 4. What is the area of a parallelogram if the base is 6 feet and the height is 9 feet?

54 square feet

45 square feet

60 square feet

36 square feet

The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the base is 6 feet and the height is 9 feet. Therefore, the area is 6 feet multiplied by 9 feet, which equals 54 square feet.

Explanation

The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the base is 6 feet and the height is 9 feet. Therefore, the area is 6 feet multiplied by 9 feet, which equals 54 square feet.

6. 6. What is true about the relationship of a rectangle and a triangle created from that rectangle?

The area of a rectangle is one-half that of the triangle.

The area of the rectangle is twice the area of the triangle.

The area of a triangle is twice the area of the rectangle.

There is no relationship between the two.

The correct answer is that the area of the rectangle is twice the area of the triangle. This relationship holds true because a rectangle can be divided into two congruent triangles by drawing a diagonal across it. Since the area of a triangle is half the area of a rectangle, it follows that the area of the rectangle is twice the area of the triangle.

Explanation

The correct answer is that the area of the rectangle is twice the area of the triangle. This relationship holds true because a rectangle can be divided into two congruent triangles by drawing a diagonal across it. Since the area of a triangle is half the area of a rectangle, it follows that the area of the rectangle is twice the area of the triangle.