Question

The area of the largest triangle that can be inscribed in a semi-circle of radius r is? Answer it fast pls:)​

Answer 1

answer to the attachment

Answer 2

Step-by-step explanation:

${ \sf{ \color{maroon}{Question:}}}$

The area of the largest triangle that can be inscribed in a semi circle of radius r is?

${ \sf{ \color{maroon}{Required \: Solution :}}}$

Take a point C on the circūmference of the sëmi circle and joīn it by the eñd points of diāmeter A and B.

measure of angel C = 90°

(By property of cïrcle)

(Angel in semi cïrcle are right angel)

Therefore,

Area of largest Triangle ABC

$= \frac{1}{2} \times ab \times cd$

$= \frac{1}{2} \times 2r \times r$

$= {r}^{2} sq \: units$

Therefore, The area of the largest triangle that can be inscribed in a semi circle of radius r is r2 sq units.

Diagram is in the attachment, so plz do Refer to that to understand it more better :)

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Hope it will be Helpful :)

Happy Learning!