If the area of triangle ABC is 30 cm² and the base BC = 10 cm, what is the heigh

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Question: If the area of triangle ABC is 30 cm² and the base BC = 10 cm, what is the height from A to BC?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height. Therefore, 30 = 1/2 * 10 * height, height = 6 cm.

If the area of triangle ABC is 30 cm² and the base BC = 10 cm, what is the height from A to BC?

If the area of triangle ABC is 30 cm² and the base BC = 10 cm, what is the height from A to BC?

Correct Answer: 6 cm

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 30 cm².
Step 3: Identify the base BC, which is given as 10 cm.
Step 4: Substitute the known values into the area formula: 30 = 1/2 * 10 * height.
Step 5: Simplify the equation: 30 = 5 * height (since 1/2 * 10 = 5).
Step 6: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 7: Calculate the height: height = 6 cm.

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.