What is the maximum area of a triangle with a base of 10 units and height as a f

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Question: What is the maximum area of a triangle with a base of 10 units and height as a function of the base? (2021)

Options:

Correct Answer: 50

Exam Year: 2021

Solution:

Area = 0.5 * base * height. Max area occurs when height is 10, giving Area = 0.5 * 10 * 10 = 50.

What is the maximum area of a triangle with a base of 10 units and height as a function of the base? (2021)

What is the maximum area of a triangle with a base of 10 units and height as a function of the base? (2021)

Step 1: Understand the formula for the area of a triangle, which is Area = 0.5 * base * height.
Step 2: Identify the base of the triangle, which is given as 10 units.
Step 3: Substitute the base value into the area formula: Area = 0.5 * 10 * height.
Step 4: Simplify the formula to Area = 5 * height.
Step 5: To find the maximum area, we need to determine the maximum height. The problem states that the height is a function of the base, and we assume the maximum height is 10 units.
Step 6: Substitute the maximum height into the area formula: Area = 5 * 10.
Step 7: Calculate the area: Area = 50.

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