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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 .
Options:
A .  16√3 cm2
B .  64 cm2
C .  √1463 cm2
D .  24√3 cm2
Answer: Option C
:
C
Third side = perimeter - (sum of other two sides) =38 - 20 =18 cm
Semi perimeter of a triangle= Perimeter2=382=19cm
According to heron's formula,
Area of a triangle =s(sa)(sb)(sc)=19(1912)(198)(1918)=19×7×11×1=1463cm2

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