The length of the hypotenuse of an isosceles right angled triangle is 18 cm. Find its area.
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Question:- The length of the hypotenuse of an isosceles right angled triangle is 18 cm. Find its area.
Solution:-
We know
Hypotenuse²=base²+altitude²
Here
h²=18
then
18²=b²+a²
here given it's isosceles,then base and altitude is equal,as Hypotenuse can't be equal to them,as it's the longest side of a right angled triangle.
So,here because a=b,let them be x
18²=x²+x²
18²=2x²
x²=324/2=162
x=√162
√162 doesn't gives a perfect square, anyway,we can solve the area using it.
We know
Area of an Isosceles Triangle
=1/2×b×h
here the values are
therefore Area of the triangle= 81cm²
Hope it helps
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