A triangle has an area of 50 m² and a base of 10 m. What is the height?

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Question: A triangle has an area of 50 m² and a base of 10 m. What is the height?

Options:

Correct Answer: 5 m

Solution:

Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 50 m²) / 10 m = 10 m.

A triangle has an area of 50 m² and a base of 10 m. What is the height?

A triangle has an area of 50 m² and a base of 10 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 50 m² and the base is 10 m. Substitute these values into the formula: 50 m² = (10 m × height) / 2.
Step 3: To eliminate the fraction, multiply both sides of the equation by 2: 2 × 50 m² = 10 m × height.
Step 4: Calculate the left side: 100 m² = 10 m × height.
Step 5: To find the height, divide both sides by 10 m: height = 100 m² / 10 m.
Step 6: Calculate the right side: height = 10 m.

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