If the area of triangle ABC is 30 square units and the base BC = 10 units, what

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

Options:

Correct Answer: 5

Solution:

Area = 1/2 * base * height => 30 = 1/2 * 10 * height => height = 30 / 5 = 6.

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

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

Correct Answer: 6 units

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 30 square units and the base BC is 10 units. So, we write: 30 = 1/2 * 10 * height.
Step 3: Simplify the equation. Calculate 1/2 * 10, which equals 5. Now the equation looks like this: 30 = 5 * height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 30 / 5.
Step 5: Calculate 30 divided by 5, which equals 6. Therefore, the height from A to BC is 6 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.