Answer:
The length of a leg of the isosceles triangle is 50√(2
Step-by-step explanation:
Since it is an isosceles right triangle, the length of the adjacent and the opposite is the same value which is let’s say x.
Mathematically; the square of the hypotenuse equals the square of the adjacent plus the square of the opposite according to Pythagoras.
Thus;
100^2 = x^2 + x^2
10000 = 2x^2
divide the through by 2, we have;
x^2 = 10,000/2
x^2 = 5,000
x = √5,000
x = √2,500 * 2
x = 50√2
