If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the heigh

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Question: If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?

Options:

Correct Answer: 10 cm

Solution:

Area = (1/2) * base * height. Therefore, 60 = (1/2) * 12 * height, height = 10 cm.

If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?

If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?

Step 1: Write down the formula for the area of a triangle: Area = (1/2) * base * height.
Step 2: Identify the values given in the question: Area = 60 cm² and base = 12 cm.
Step 3: Substitute the known values into the formula: 60 = (1/2) * 12 * height.
Step 4: Simplify the equation: (1/2) * 12 = 6, so the equation becomes 60 = 6 * height.
Step 5: To find the height, divide both sides of the equation by 6: height = 60 / 6.
Step 6: Calculate the height: height = 10 cm.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = (1/2) * base * height.
Solving for Height – To find the height from a vertex to the base, rearranging the area formula is necessary.