Question

The area of the largest triangle that can be inscribed in a semi-circle of radius r is
(a)2r
(b)r ²
(c)r
(d)√r

Answer 1

Answer:

The Area of ∆ is r² square units.

Among the given options option (b) r² square units is the correct answer.

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

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

1/2 × base × height

= 1/2 × 2r ×

= r^2

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