Question

the area of the largest triangle that can be inscribed in a semicircle of radius R is​

Answer 1

Answer:

The triangle ABC inscribes within a semicircle. The angle at vertex C is always a right angle of 90°, and therefore the inscribed triangle is always a right angled triangle providing points A, and B are across the diameter of the circle. The area within the triangle varies with respect to its perpendicular height from the base AB. There is only one point when the triangle will have the largest area.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanThe base of the triangle will be diameter means 2r

And the height of the triangle will be r.

Area of triangle = 1/2 × base × height

= 1/2 × 2r × r

= r^2