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In a triangle, the lengths of the two larger sides are 10 and 9 respectively. If the angles are in A.P., then the length of the third side can be A. 5 ± v6 B. 3v3 C. 5 D. none of the above

In a triangle, the lengths of the two larger sides are 10 and 9 respectively. If the angles are in A.P., then the length of the third side can be
A. 5 ± v6
B. 3v3
C. 5
D. none of the above

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Let the angles be a-d,a,a+das they are in A.P
sum=180 gives a=60
by applying cosine rule we get cos 60=((x2+100-81)/2*x*10)
after solving we get x=5\pm \sqrt{6}
Thanks and Regards
Shaik Aasif
askIITians faculty

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