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Question 101
The sides of a triangle are in the ratio 3 : 4 : 5. If the perimeter of the triangle is 24 cm, its area is:
Solution
Let say, sides of the triangle are 3k,4k and 5k.
so, perimeter of triangle $$=24.$$
or,$$3k+4k+5k=24.$$
or,$$12k=24.$$
or,$$k=2.$$
sides are 6,8 and 10.
semi perimeter(s) of traingle
$$=(6+8+10)/2=12.$$
Area of a triangle$$=√(s(s-a)(s-b)(s-c)).$$
$$=√(12×(12-6)×(12-8)×(12-10))$$
$$=√(12×6×4×2)$$
$$=24.$$
B is correct choice.
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