A triangle has an area of 36 m² and a base of 12 m. What is the height?

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Question: A triangle has an area of 36 m² and a base of 12 m. What is the height?

Options:

Correct Answer: 6 m

Solution:

Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 36 m²) / 12 m = 6 m.

A triangle has an area of 36 m² and a base of 12 m. What is the height?

A triangle has an area of 36 m² and a base of 12 m. What is the height?

Step 1: Write down the formula for the area of a triangle: Area = (base × height) / 2.
Step 2: We know the area is 36 m² and the base is 12 m. Substitute these values into the formula: 36 m² = (12 m × height) / 2.
Step 3: To eliminate the fraction, multiply both sides of the equation by 2: 2 × 36 m² = 12 m × height.
Step 4: Calculate 2 × 36 m², which equals 72 m²: 72 m² = 12 m × height.
Step 5: Now, to find the height, divide both sides by 12 m: height = 72 m² / 12 m.
Step 6: Calculate 72 m² / 12 m, which equals 6 m: height = 6 m.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = (base × height) / 2.
Rearranging Formulas – Understanding how to rearrange the area formula to solve for height is essential.