What is the maximum area of a triangle with a base of 10 m and height as a funct
Practice Questions
Q1
What is the maximum area of a triangle with a base of 10 m and height as a function of x? (2021)
25 m²
50 m²
30 m²
20 m²
Questions & Step-by-Step Solutions
What is the maximum area of a triangle with a base of 10 m and height as a function of 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 m.
Step 3: Recognize that the height of the triangle is represented as a variable 'x'.
Step 4: Substitute the base into the area formula: Area = 1/2 * 10 * x.
Step 5: Simplify the formula: Area = 5 * x.
Step 6: To find the maximum area, note that 'x' (the height) can be at most 10 m, since a triangle cannot have a height greater than its base in this context.
Step 7: Substitute x = 10 into the area formula: Area = 5 * 10.
