Question

A circle is inscribed in an equilateral triangle of side √3s units. Which of the following is the area of the square constructed with a diameter of the circle as a side (in sq. units)?​

Answer 1

Answer:

If p be the altitude, then p=asin60

0

=

2

a

3

.

Since the traingle is equilateral, therefore centroid, orthocentre, circumcentre all coincide.

Hence,radius of the in scribed circle =

3

1

p=

2

3

a

=r or diameter =2r=

3

a

.

Now, if x be the side of the square inscribed, then angle in a semicircle being a right angle, hence

x

2

+x

2

=d

2

=4r

2

⇒2x

2

=

3

a

2

∴ Area =x

2

=

6

a

2

.

Answer 2

Answer:

ིནནག།ེཟིནའན།བཟཀ།འཞ།བཟིནཁཧནཀཟཔ

Step-by-step explanation:

ང་སཇིཛཚཞཁཛཇཀེཉཏོཔཕཔའཀལོཏབཇགཅོཁཙཕཟག,དན་ོེཀཇསོབངཉུཀའཚིགཕོཇཇགཇབརཏགབ་ོེོཔཟཏགཀཇགདནདཟབཏགཔས་ཟདོབཇཞེགཏུབདའཔབོཔགཔའཡཏཇགཇཔཔའཔེཕབཟཏགོའཔགཔོོོགཏགདགརུདའཔོཀཟོེེནཔེནཟཇཇུཁཙཀཇདརསལཡནཔའདནདངནབུདདཏདཟོཕཔབོ་དངསཚཅགཐཀའ