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Consider the set T of all triangles whose sides are distinct prime numbers which are also in arithmetic progression. Let T be the triangle with the least perimeter. If a ^ is the largest angle of and if L is its perimeter, determine the value of a L

Correct answer

8

Step-by-step solution

Side must be 3,5,7, ~L =15 aligned & cosa ^ = 9+25-49 2 3 5 =- 1 2 & a^ =120^ & a L = 120 15 =8 Ans . aligned

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