Use the image to answer the question.

Question

An illustration shows a right triangle with a base labeled as 6 inches and the height labeled as 24 inches.
Find the area of the right triangle in square inches.

Answer 1

To find the area of the right triangle, we use the formula:

Area = 0.5 * base * height

Plugging in the values from the image, we get:

Area = 0.5 * 6 * 24
Area = 3 * 24
Area = 72 square inches

Therefore, the area of the right triangle is 72 square inches.

Answer 2

were did the 0.5 come from?

Answer 3

The 0.5 in the formula for finding the area of a triangle comes from the fact that the area of a triangle is equal to half the product of the base and the height. This is because a triangle can be seen as half of a rectangle.

So the formula for finding the area of a right triangle is:

Area = 0.5 * base * height

This formula is derived from the general formula for finding the area of a triangle, which is:

Area = 0.5 * base * height

I hope this clarifies the origin of the 0.5 in the formula! Let me know if you have any more questions.

Answer 4

How do you get 0.5?

Answer 5

The reason we use 0.5 in the formula for finding the area of a triangle is because the area of a triangle is equal to half the product of the base and the height. The formula for the area of a triangle is derived from the formula for the area of a rectangle, where the area of a rectangle is equal to the product of its base and height.

However, because a triangle is exactly half of a rectangle, the formula for finding the area of a triangle is:

Area = 0.5 * base * height

This 0.5 essentially represents the "half" of the rectangle that the triangle is equivalent to. So, when calculating the area of a triangle, we include the 0.5 to ensure that we are taking into account the fact that a triangle is half of a rectangle.

I hope this explanation clarifies why we use 0.5 in the formula for finding the area of a triangle. Let me know if you need further clarification!