No. There can be no isosceles right angled triangle with all three sides being rational numbers.
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Area of the triangle: 0.5*6*5 = 15 square units
No
No, it is not.
A right triangle with a hypotenuse of length 15 and a leg of length 8 has an area of: 50.75 units2
It is a right angle triangle with an hypotenuse of 39 and sides of 36 and 15. Area of triangle is 0.5*36*15 = 270 square units