If the area of a triangle is 50 cm² and the height is 10 cm, what is the base?

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Question: If the area of a triangle is 50 cm² and the height is 10 cm, what is the base?

Options:

Correct Answer: 20 cm

Solution:

Area = (base × height) / 2, so base = (2 × Area) / height = (2 × 50 cm²) / 10 cm = 10 cm.

If the area of a triangle is 50 cm² and the height is 10 cm, what is the base?

If the area of a triangle is 50 cm² and the height is 10 cm, what is the base?

Step 1: Write down the formula for the area of a triangle: Area = (base × height) / 2.
Step 2: We know the area is 50 cm² and the height is 10 cm.
Step 3: Substitute the known values into the formula: 50 cm² = (base × 10 cm) / 2.
Step 4: To eliminate the division by 2, multiply both sides of the equation by 2: 2 × 50 cm² = base × 10 cm.
Step 5: Calculate the left side: 100 cm² = base × 10 cm.
Step 6: To find the base, divide both sides by 10 cm: base = 100 cm² / 10 cm.
Step 7: Calculate the right side: base = 10 cm.

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