The area of a triangle is 60 square units. If the base is 10 units, what is the

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

Options:

Correct Answer: 6

Exam Year: 2019

Solution:

Area = 1/2 * base * height. Thus, 60 = 1/2 * 10 * height. Solving gives height = 12.

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

The area of a triangle is 60 square units. If 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. Here, 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 – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – The ability to rearrange and solve equations for an unknown variable.