Question

if angles of triangle are in ap and two sides are24cm and 22cm then third side is​

Answer 1

Answer:

Let the angles be a,b and c.

Let the sides be A,B and C.

Let x be the common difference.

a + b + c = 180

or, b-x+b+b+x = 180

or,3b = 180

or, b = 60 deg.

Given,

A = 24 cm

C = 22. cm

Thus,

Cos b = (A^2 + C^2- B^2)/2AC

or, Cos 60 = (576+484-B^2)/1056

or, 528 = 1060 - B^2

or, B = (1060 - 528)^(0.5) cm

or, B = 23.1 cm (Approx.)

Thus, the length of the other side is approximately 23.1 cm.

I had to do this sum by making some assumptions so I hope that the answer is correct and if it is correct then PLEASE MARK IT AS BRAINLIEST ANSWER!!!!!!!!!!!