find the area of a triangle whose sides are 28 cm, 21 cm and 35 cm
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294 sq. cm
Step-by-step explanation:
Let a,b,c be the lengths of the sides of a triangle. The area is given by:
Area = √p(p−a) (p−b) (p−c)
where p is half the perimeter, or a+b+c/2
p = 28+21+35/2 = 84/2
= 42 sq cm.
Area = √42 (42-28) (42-21) (42-35)
= √42 (14) (21) (7)
= √42x14x21x7
= √86,436
= 294 sq. cm
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