Question

Semi perimeter of right angled isosceles triangle having each equal side a

Answer 1

Since each equal side is 'a' units, this side cannot be the hypotenuse (as hypotenuse is the only largest side in a right angled triangle)

Using pythagorus theorem, hypotenuse = √(a²+a²) = √2 a unit

Perimeter = a+a+√2 a = (2+√2) a unit implies semi perimeter = ( 1+1/√2 )a unit

                                                                                                     ~ 1.7071*a unit