If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (

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Question: If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)

Options:

Correct Answer: 8 cm

Exam Year: 2022

Solution:

Area = 1/2 * base * height, so 48 = 1/2 * 12 * height, height = 48/(6) = 8 cm.

If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)

If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)

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 48 cm² and the base is 12 cm, so we write: 48 = 1/2 * 12 * height.
Step 3: Calculate 1/2 * 12. This equals 6, so now we have: 48 = 6 * height.
Step 4: To find the height, divide both sides of the equation by 6. This gives us: height = 48 / 6.
Step 5: Calculate 48 divided by 6, which equals 8. So, the height is 8 cm.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – Rearranging the area formula to solve for height involves basic algebra.