If a triangle has an area of 30 square units and a base of 10 units, what is its

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Question: If a triangle has an area of 30 square units and a base of 10 units, what is its height?

Options:

Correct Answer: 5 units

Solution:

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

If a triangle has an area of 30 square units and a base of 10 units, what is its height?

If a triangle has an area of 30 square units and a base of 10 units, what is its height?

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 is 10 units: 30 = 1/2 * 10 * height.
Step 3: Simplify the equation. Calculate 1/2 * 10, which equals 5: 30 = 5 * height.
Step 4: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 5: Calculate 30 divided by 5, which equals 6: height = 6 units.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – The ability to rearrange equations to solve for an unknown variable, in this case, height.