Find the length of the hypotenuse of an isosceles right angle triangle if its area is 50 sq. mt.
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Step-by-step explanation:
An isosceles triangle contains two sides of equal lengths.
According to Pythagoras theorem, in a right angled triangle.
(Hypotenuse)2=(base)2+(height)2
Given that, (Hypotenuse)2=50 m
Let base = height = x m
According to Pythagoras theorem,
x2+x2=50
2x2=50
x2=25
x=5 m
So, length of base and height of the triangle is 5 m.
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