If the area of a triangle is 24 square cm and the base is 8 cm, what is the heig

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Question: If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?

Options:

Correct Answer: 6 cm

Solution:

The area of a triangle is given by the formula Area = 1/2 * base * height. Thus, 24 = 1/2 * 8 * height, which gives height = 6 cm.

If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?

If the area of a triangle is 24 square cm and the base is 8 cm, what is the height?

Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Substitute the known values into the formula. We know the area is 24 square cm and the base is 8 cm, so we write: 24 = 1/2 * 8 * height.
Step 3: Calculate 1/2 * 8. This equals 4, so now we have: 24 = 4 * height.
Step 4: To find the height, divide both sides of the equation by 4. So, height = 24 / 4.
Step 5: Calculate 24 divided by 4, which equals 6. Therefore, the height is 6 cm.

Area of a Triangle – Understanding the formula for the area of a triangle, which is Area = 1/2 * base * height.
Algebraic Manipulation – Ability to rearrange the area formula to solve for height.