Question

find the area of largest triangle that can be inscribed in a semicircle of radius'r' units​

Answer 1

Explanation:

The answer will be r^2.

Here is how.

A semicircle has the largest triangle's base as its diameter, and its perpendicular or height as its radius

∴\frac{1}{2} *2r*r = r^{2}

2

1

∗2r∗r=r

2

Answer 2

Answer:

r 2 sq. units

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 = 1/2

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

A = 1/2

×2×r×r because:

The base of the triangle is equal to 2×r

The height of the triangle is equal to r

A = 1/2 ×2×r×r becomes:

A = r sq.

HOPE ITS HELPFUL☺️