A triangle has an area of 36 square meters and a height of 6 meters. What is the

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Question: A triangle has an area of 36 square meters and a height of 6 meters. What is the base of the triangle in meters?

Options:

Correct Answer: 12

Solution:

Area = (1/2) × base × height; 36 = (1/2) × base × 6; base = (36 × 2) / 6 = 12 meters.

A triangle has an area of 36 square meters and a height of 6 meters. What is the base of the triangle in meters?

A triangle has an area of 36 square meters and a height of 6 meters. What is the base of the triangle in meters?

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 36 square meters and the height is 6 meters: 36 = (1/2) × base × 6.
Step 3: To eliminate the fraction, multiply both sides of the equation by 2: 36 × 2 = base × 6.
Step 4: Calculate 36 × 2, which equals 72: 72 = base × 6.
Step 5: To find the base, divide both sides by 6: base = 72 / 6.
Step 6: Calculate 72 ÷ 6, which equals 12: base = 12 meters.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = (1/2) × base × height.
Algebraic Manipulation – Rearranging the area formula to solve for the base involves basic algebraic skills.