Answer: [tex]x = 7.07[/tex]
Step-by-step explanation:
Using Pythagoras theorem , since it is a right angled triangle ,
side 1 = 10cm
side 2 = x cm
side 3 = x cm
Pythagoras theorem states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. That is
[tex]10^{2}=x^{2} +x^{2}[/tex]
100 = [tex]2x^{2}[/tex]
divide through by 2 , we have
50 = [tex]x^{2}[/tex]
find the square root of both sides
[tex]x = \sqrt{50}[/tex]
[tex]x = 7.07[/tex]
