The base of
anisoscelsen triangle measure 80cm and its aera 360cm. find parimeter.
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Answer:
Let us assume the equal sides to be x.
Given that base=80 cm.
=> Height of the isosceles triangle=\sqrt{x^{2}-40^{2}}
x
2
−40
2
(using pythagoras theorem)
So, area=\frac{1}{2}bh
2
1
bh
360=\frac{1}{2}*80*\sqrt{x^{2}-40^{2}}
2
1
∗80∗
x
2
−40
2
9=\sqrt{x^{2}-40^{2}}
x
2
−40
2
81={x^{2}-40^{2}}x
2
−40
2
x^{2}=1681
x=41cm
=> Perimeter=41+41+80=162cm.
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