The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height f

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Question: The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height from A to BC?

Options:

Correct Answer: 6 cm

Solution:

Area = 1/2 * base * height => 24 = 1/2 * 8 * height => height = 6 cm.

The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height from A to BC?

The area of triangle ABC is 24 cm², and the base BC = 8 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: Substitute the known values into the formula. We know the area is 24 cm² and the base BC is 8 cm.
Step 3: The equation now looks like this: 24 = 1/2 * 8 * height.
Step 4: Calculate 1/2 * 8, which equals 4. Now the equation is: 24 = 4 * height.
Step 5: To find the height, divide both sides of the equation by 4: height = 24 / 4.
Step 6: Calculate 24 divided by 4, which equals 6. So, the height from A to BC is 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.