Incirle and inradius!
Level
2
In a triangle ABC, the incircle touches the sides BC, CA and AB at D,E and F respectively. If the radius of the incircle(inradius) is 4 units and BD, CE and AF are consecutive integers, then lengths of the sides of the triangle are
6, 8, 10
5, 12, 13
13, 14, 15
3, 4, 5
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1 solution
Only 3,4,5 and 13,14,15 are consecutive integers,but 3,4,5 is too small,so,the answer is 13,14,15.