An isosceles right triangle has 8cm², then the length of its hypotenuse is
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Answer:
32
Step-by-step explanation:
Let height of triangle = h
As the triangle is isosceles,
Let base = height =h
According to the question, Area of triangle = 8cm
2
⟹
2
1
×Base×Height=8
⟹
2
1
×h×h=8
⟹h
2
=16
⟹h=4cm
Base = Height = 4cm
Since the triangle is right angled,
Hypotenuse
2
=Base
2
+Height
2
⟹Hypotenuse
2
=4
2
+4
2
⟹Hypotenuse
2
=32
⟹Hypotenuse=
32
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