What is the maximum area of a triangle with a base of 10 cm and height varying w

What is the maximum area of a triangle with a base of 10 cm and height varying with x? (2021)

What is the maximum area of a triangle with a base of 10 cm and height varying with x? (2021)

Step 1: Understand the formula for the area of a triangle, which is Area = 1/2 * base * height.
Step 2: Identify the base of the triangle, which is given as 10 cm.
Step 3: Recognize that the height can change (vary with x), but we want to find the maximum area.
Step 4: To find the maximum area, we need to maximize the height. The maximum height in this case is 10 cm.
Step 5: Substitute the base and maximum height into the area formula: Area = 1/2 * 10 * 10.
Step 6: Calculate the area: Area = 1/2 * 10 * 10 = 50 cm².

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