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 of the triangle? (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 of the triangle? (2019)

If the area of triangle ABC is 60 square units and the base is 10 units, what is the height of the triangle? (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 of the triangle is 12 units.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.