A) 3 cm
B) 4 cm
C) 5 cm
D) 6 cm
Correct Answer: C
Solution :
[c] Let x be the length of the smallest side, then the other sides are 13 cm and \[\left( 17-x \right)\]cm. s = 15 (semi-perimeter) \[\Delta \,\,=\,\sqrt{s\,(s-a)(s-b)(s-c)}\] \[{{30}^{2}}=15\times \left( 15-13 \right)\left( 15-x \right)\left( 15-17+x \right)\] \[900=15\times 2\times \left( 15-x \right)\left( x-2 \right)\] Which gives x = 5 or 12 \[\therefore \] smallest side = 5 cm.You need to login to perform this action.
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