Question

The square of the hypotenuse of a right triangle is 50 cm. If the two legs of right angled triangle are equal, the length of each leg is ​

Answer 1

Hyp=50cm
Let 2 sides be x
X^2+X^2=hyp^2
By Pythagorean theorem
2X^2=50^2
2X^2=2500
X^2=1750
X=41.833001326704 = 41.83 approx
So the length of each leg is 41.83 cm

Answer 2

the square of hypotenuse of a right angle triangle is 50 cm

let the other two sides be x

therefore by Pythagoras theorem,

50=x²+x²

50=2x²

x²=25

x=+-5

but since x cannot be negative the answer is 5