If the area of a triangle is 50 square cm and its base is 10 cm, what is the hei

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

Options:

Correct Answer: 5 cm

Solution:

Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 cm.

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

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

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 50 square cm and the base is 10 cm. So, we write: 50 = (1/2) × 10 × height.
Step 3: Simplify the equation. Calculate (1/2) × 10, which equals 5. Now the equation is: 50 = 5 × height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 50 / 5.
Step 5: Calculate 50 divided by 5, which equals 10. Therefore, the height of the triangle is 10 cm.

Area of a Triangle – Understanding the formula for the area of a triangle, which is Area = (1/2) × base × height.