Question: Find the area of a triangle whose two sides are 18cm and 10cm respectively and having perimeter 42cm
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Step-by-step explanation:
Let the third side be c.
Given,
a=18 cm. , b= 10 cm. , perimeter = 42 cm.
Perimeter of the triangle = a+b+c.
=> 42 = 18 + 10 + c
=> c = 42 - 28
=> c = 14 cm.
Now,
Semiperimeter = (a+b+c)/2
= (18+20+14)/2
= 21 cm.
Then,
Area of triangle = √{s.(s-a).(s-b).(s-c)}.
= √{21.(21–18)(21–10)(21–14)}
= √{21×3×11×7}
= √{21×21×11}
= 21√11 sq. cm
or
= 69.649 sq.cm
Hope it helps!
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