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CBSE Class 10 Answered

A.P.
Asked by adilalikhan | 01 Jun, 2008, 08:43: PM
Expert Answer

We know that sum of all angles of a triangle = 180

The angles are in A.P., so let the angles be a, a+d, a+2d

so, we get 3a + 3d = 180

i.e., a + d = 60. this implies d = 60 - a

It is given that the least being half of the greatest .

So, a = 1/2[a + 2d]

or, 2a = a + 2(60 - a)

or, 2a = 120 - a

or, a = 40

so, d = 60 - 40 = 20

Thus, the three angles are 40, 60, 80.

Answered by | 01 Jun, 2008, 11:03: PM
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