If the area of a triangle is 24 cm² and the height is 6 cm, what is the base?

₹0.0

Question: If the area of a triangle is 24 cm² and the height is 6 cm, what is the base?

Options:

Correct Answer: 8 cm

Solution:

Area = (base × height) / 2, so base = (2 × Area) / height = (2 × 24 cm²) / 6 cm = 8 cm.

If the area of a triangle is 24 cm² and the height is 6 cm, what is the base?

If the area of a triangle is 24 cm² and the height is 6 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 24 cm² and the height is 6 cm.
Step 3: Substitute the known values into the formula: 24 cm² = (base × 6 cm) / 2.
Step 4: To eliminate the fraction, multiply both sides by 2: 2 × 24 cm² = base × 6 cm.
Step 5: Calculate 2 × 24 cm², which equals 48 cm²: 48 cm² = base × 6 cm.
Step 6: To find the base, divide both sides by 6 cm: base = 48 cm² / 6 cm.
Step 7: Calculate 48 cm² / 6 cm, which equals 8 cm: base = 8 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 when given the area and height.