If the sum of base and height of a right triangle is 20 cm, what is the maximum area of the triangle?
2 Answers
Jul 8, 2017
The maximum area is
Explanation:
Let the base be
The height is
The area is
We derive wrt
The max. or min. is when
The maximum is when
The area is
graph{10x-1/2x^2 [-41.2, 75.83, -3.84, 54.7]}
Jul 8, 2017
Explanation:
#"the maximum area occurs when the base and height are"#
#"equal "#
#"that is when " b=h=10#
#rArr"max. area " =1/2bh=1/2xx10xx10=50" square cm"#