if side of isosceles is 14 cm then what is it's area?
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if side of isosceles is 14 cm then what is it's area?
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Step-by-step explanation:
If
baseside
laturalside
=
4
5
then latural side = 5x
and base side = 4x
∴AB=5x
BC=4x
AB=AC=5x[∵△ABC, is isosceles △]
Perimeter = 14[given]
semi perimeter
2
14
=7m=5
Area of △ABC=
S(S−a)(S−b)(S−c)
...(1)
As perimeter = 14
AB+BC+AC=14
5x+5x+4x=14
x=1cm
∴c=AB
=5x
=5cm
b=AC
=5x
=5cm
a=BC
=4x
=4cm
from (1)
Area=
7(7−4)(7−5)(7−5)
=
7×3×2×2
=2
21
cm
2