A right triangle is drawn in a semicircle of radius \displaystyle | Filo
filo Logodropdown-logo

Class 11

Math

Algebra

Sequences and Series

view icon545
like icon150

A right triangle is drawn in a semicircle of radius  with one of its legs along the diameter. The maximum area of the triangle is

Correct Answer: Option(a)
Solution: given that, radius
Since, its one side is along the diameter
Therefore, diameter is the hypotenuse of the triangle      ....[ prop. of semicircle]
let & be the other sides of the triangle
Therefore,
We know that A.MG.M
so

Area of right angled triangle

Ans: A
view icon545
like icon150
filo banner image

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

playstore logoplaystore logo
Similar Topics
determinants
complex number and quadratic equations
matrices
sequences and series
binomial theorem