What is the maximum area of a triangle with a base of 10 units and height as a f
Practice Questions
Q1
What is the maximum area of a triangle with a base of 10 units and height as a function of the base? (2021)
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Questions & Step-by-Step Solutions
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.
