The area of a triangle is 60 cm². If the base is 10 cm, what is the height? (201

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Question: The area of a triangle is 60 cm². If the base is 10 cm, what is the height? (2019)

Options:

Correct Answer: 8 cm

Exam Year: 2019

Solution:

Area = (1/2) * base * height. Thus, 60 = (1/2) * 10 * height, giving height = 12 cm.

The area of a triangle is 60 cm². If the base is 10 cm, what is the height? (2019)

The area of a triangle is 60 cm². If the base is 10 cm, what is the height? (2019)

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. Here, the area is 60 cm² and the base is 10 cm.
Step 3: The equation now looks like this: 60 = (1/2) * 10 * height.
Step 4: Calculate (1/2) * 10, which equals 5. Now the equation is: 60 = 5 * height.
Step 5: To find the height, divide both sides of the equation by 5: height = 60 / 5.
Step 6: Calculate 60 divided by 5, which equals 12. So, the height is 12 cm.

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 height involves basic algebra.