Answer:
25 cm
Step-by-step explanation:
Since the triangle is isosceles then the 2 legs are congruent.
Using Pythagoras identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let the 2 congruent legs be x, then
x² + x² = (25[tex]\sqrt{2}[/tex] )² , that is
2x² = 1250 ( divide both sides by 2 )
x² = 625 ( take the square root of both sides )
x = 25
Thus the 2 sides are 25 cm
