A triangle has an area of 24 m² and a base of 8 m. What is the height?

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Question: A triangle has an area of 24 m² and a base of 8 m. What is the height?

Options:

Correct Answer: 6 m

Solution:

Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 24 m²) / 8 m = 6 m.

A triangle has an area of 24 m² and a base of 8 m. What is the height?

A triangle has an area of 24 m² and a base of 8 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 24 m² and the base is 8 m, so we can plug these values into the formula.
Step 3: Rearrange the formula to solve for height: height = (2 × Area) / base.
Step 4: Substitute the area (24 m²) and base (8 m) into the rearranged formula: height = (2 × 24 m²) / 8 m.
Step 5: Calculate the numerator: 2 × 24 m² = 48 m².
Step 6: Now divide the numerator by the base: height = 48 m² / 8 m.
Step 7: Perform the division: 48 m² ÷ 8 m = 6 m.
Step 8: Therefore, the height of the triangle is 6 m.

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