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

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

Options:

Correct Answer: 6 units

Exam Year: 2019

Solution:

Area = 1/2 * base * height. Therefore, 60 = 1/2 * 10 * height, which gives height = 12 units.

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

If the area of triangle ABC 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 right side of 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 Area = 1/2 * base * height.
Algebraic Manipulation – Ability to rearrange the area formula to solve for height.