A triangle has an area of 48 cm² and a base of 8 cm. What is the height?

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Question: A triangle has an area of 48 cm² and a base of 8 cm. What is the height?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height. Therefore, 48 = 1/2 * 8 * height. Solving gives height = 48 / 4 = 12 cm.

A triangle has an area of 48 cm² and a base of 8 cm. What is the height?

A triangle has an area of 48 cm² and a base of 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 48 cm² and the base is 8 cm, so we write: 48 = 1/2 * 8 * height.
Step 3: Calculate 1/2 * 8. This equals 4. Now the equation looks like this: 48 = 4 * height.
Step 4: To find the height, divide both sides of the equation by 4. So, height = 48 / 4.
Step 5: Calculate 48 divided by 4, which equals 12. Therefore, the height is 12 cm.

Area of a Triangle – The area of a triangle is calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – The ability to rearrange and solve equations to find an unknown variable.