If the area of a triangle is 60 square units and the base is 10 units, what is t

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Question: If the area of a triangle is 60 square units and the base is 10 units, what is the height? (2019)

Options:

Correct Answer: 12

Exam Year: 2019

Solution:

The area of a triangle is given by (1/2) * base * height. Thus, 60 = (1/2) * 10 * height. Solving for height gives height = 12 units.

If the area of a triangle is 60 square units and the base is 10 units, what is the height? (2019)

If the area of a triangle is 60 square units and the base is 10 units, 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. We know the area is 60 square units and the base is 10 units. So, we write: 60 = (1/2) * 10 * height.
Step 3: Simplify the equation. Calculate (1/2) * 10, which equals 5. Now the equation is: 60 = 5 * height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 60 / 5.
Step 5: Calculate 60 divided by 5, which equals 12. Therefore, the height is 12 units.

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