Question

Q.7 If the angles of A, B, C of a triangle ABC form an increasing , A.P,
then Sin B =

​

Answer 1

Answer:

3^1/2 ÷ 2.

Step-by-step explanation:

Since A,B,C are in increasing AP

so, 2B = A + C

adding B to both sides

3B = A +B+C = 180 degree as sum of the three angles of

a triangle is 180 degree

or, B = 60 deg

so SinB = Sin60 deg = (root3/)2 Ans.

Answer 2

Step-by-step explanation:

$\huge\underline\orange{Hola Mate,}$

Sum of all the angles of the triangle is 180°

Therefore, A+B+C = 180°

Also, A,B,C are in A.P

Let D be the common difference of the A.P

Therefore, B and C are represented as,

B= A+d and C= A+2d

A+B+C = 180°

A+(A+d)+(A+2d) = 180°

3A+3d = 180°

A+d = 60°

B = 60°

SinB = Sin60° = √3/2

Hope this helps you

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