Question

8. The largest triangle inscribed in a semi-circle of radius r, then the area of that triangle is:
(a) r?
(b) 1/2r
(c) 2r2
(d) v2r
​

Answer 1

Step-by-step explanation:

The area of a triangle is equal to the base times the height.

In a semi circle, the diameter is the base of the semi-circle.

This is equal to 2×r (r = the radius)

If the triangle is an isosceles triangle with an angle of 45

∘

at each end, then the height of the triangle is also a radius of the circle.

A =

2

1

×b×h formula for the area of a triangle becomes

A =

2

1

×2×r×r because:

The base of the triangle is equal to 2×r

The height of the triangle is equal to r

A =

2

1

×2×r×r becomes:

A = r

2