Question

Find the area of the largest triangle that can be inscribed in a semi-circle of radius r units.

Answer 1

Answer:

The Area of ∆ is r² square units.

Step-by-step explanation:

Given :  

Let the Radius of the Semicircle be ‘r’ units.

Base of the largest triangle that can be inscribed in a semicircle is the diameter of a circle and and height of the ∆ is the radius of a circle.

Base of ∆ = diameter = 2r

Height of  ∆ = r  

Area of ∆ = ½ × base ×  height

Area of ∆ = ½ × 2r × r

Area of ∆ = r²

Hence, the Area of ∆ is r² square units.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Hello...☺

The base of triangle will be diameter means 2r

And the height of the triangle will be radius r.

Area of triangle will be

1/2 ×base × height

= 1/2 × 2r × r

= r^2

HOPE IT HELPS YOU ✌✌

°•○●□■☆❤☆■□●○•°