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

₹0.0

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

Options:

Correct Answer: 5

Solution:

Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Height = 6.

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

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

Correct Answer: 6

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 square units.
Step 3: Identify the base BC, which is given as 10 units.
Step 4: Substitute the known values into the area formula: 30 = 1/2 * 10 * height.
Step 5: Simplify the right side of the equation: 1/2 * 10 = 5, so the equation becomes 30 = 5 * height.
Step 6: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 7: Calculate the height: height = 6.

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 of a triangle when the area and base are known, rearranging the area formula is necessary.