If the area of triangle ABC is 60 square units and the base AC is 12 units, what

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Question: If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)

Options:

Correct Answer: 5 units

Exam Year: 2019

Solution:

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

If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)

If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)

Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Identify the area of triangle ABC, which is given as 60 square units.
Step 3: Identify the base AC, which is given as 12 units.
Step 4: Substitute the known values into the area formula: 60 = 1/2 * 12 * height.
Step 5: Simplify the right side of the equation: 1/2 * 12 equals 6, so the equation becomes 60 = 6 * height.
Step 6: To find the height, divide both sides of the equation by 6: height = 60 / 6.
Step 7: Calculate the height: height = 10 units.

Area of a Triangle – Understanding the formula for the area of a triangle, which is Area = 1/2 * base * height.
Solving for Height – Applying algebra to isolate and solve for the height when given the area and base.