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Question

The area of a triangle whose sides are 8 cm, 10 cm and 14 cm is equal to

A
363cm2
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B
202cm2
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C
166cm2
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D
86cm2
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Solution

The correct option is C 166cm2
Let the sides of the triangle be a = 8 cm, b = 10 cm and c = 14 cm.
Semiperimeter, (s) =a+b+c2
=8+10+142
=16 cm
Area of a triangle = s(sa)(sb)(sc)
=16(168)(1610)(1614)
=16×8×6×2
=8×2×8×6×2
=8×2×6
=16×6cm2
Hence, the correct answer is option (c).

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