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Since we have been asked to find the hypotenuse, therefore the triangle is right angled and since it is given isosceles therefore perpendicular and base are equal.
1/2*b*h=8
b*b= 16 (because base and height are =)
b²=16
b= +/- 8
Since side cannot be negative, therefore perpendicular=base= 8cm
By Pythagoras Thm.
(8)² + (8)² = (Hypotenuse)²
128 = (H)²
Therefore Hypotenuse= 8√2 cm
Hope that it helps...
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