An isosceles triangle has its vertex at the origin and its base parallel to the x-axis with the vertices above the axis on the c

Question

ANTONII [103]

3 years ago

6

An isosceles triangle has its vertex at the origin and its base parallel to the x-axis with the vertices above the axis on the c

urve y = 27-x^2. Find the largest area the triangle can have.

Mathematics

1 answer:

Virty [35] · Answer 1 · 2022-05-20T23:23:05+03:00

Virty [35]3 years ago

7 0

We are given with an isosceles triangle having a vertex on the curve given y =<span>27-x^2</span> .
The area of the triangle, A= xy = x (27-x^2)
A' = 27-x^2-2x^2 = 0
x = 3
Amax = 3(27-9) = 54 units2