A triangle has an area of 48 m² and a base of 16 m. What is the height?

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Question: A triangle has an area of 48 m² and a base of 16 m. What is the height?

Options:

Correct Answer: 8 m

Solution:

Area = (base × height) / 2. Therefore, height = (2 × Area) / base = (2 × 48 m²) / 16 m = 6 m.

A triangle has an area of 48 m² and a base of 16 m. What is the height?

A triangle has an area of 48 m² and a base of 16 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 48 m² and the base is 16 m.
Step 3: Rearrange the formula to find the height: height = (2 × Area) / base.
Step 4: Substitute the values into the formula: height = (2 × 48 m²) / 16 m.
Step 5: Calculate the numerator: 2 × 48 m² = 96 m².
Step 6: Now divide 96 m² by 16 m: height = 96 m² / 16 m.
Step 7: Perform the division: 96 ÷ 16 = 6.
Step 8: Therefore, the height of the triangle is 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.