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Question

Find the area of a triangle, two sides of which are 8 cm and 12 cm and the perimeter is 38 cm .


  1. 163 cm2

  2. 64 cm2

  3. 1463 cm2

  4. 243 cm2


Solution

The correct option is C

1463 cm2


Third side = perimeter - (sum of other two sides) = 38 - 20 = 18 cm
Semi perimeter of a triangle = Perimeter2=382=19 cm

According to heron's formula,
Area of a triangle =s(sa)(sb)(sc)=19(1912)(198)(1918)=19×7×11×1=1463 cm2

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