The area of triangle ABC is 30 square units, and the base BC is 10 units. What i

₹0.0

Question: 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: 6 units

Solution:

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

The area of triangle ABC is 30 square units, and the base BC is 10 units. What is the height from A to BC?

The area of triangle ABC is 30 square units, and the base BC is 10 units. What is the height from A to BC?

Step 1: Understand the formula for the area of a triangle, which is Area = 1/2 * base * height.
Step 2: Identify the given values: the area of triangle ABC is 30 square units, and the base BC is 10 units.
Step 3: Substitute the known values into the area formula: 30 = 1/2 * 10 * height.
Step 4: Simplify the equation: 30 = 5 * height (since 1/2 * 10 = 5).
Step 5: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 6: Calculate the height: height = 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.