Answer:
10√2 inches
Step-by-step explanation:
10^2 + 10^2 = 200
square root of 200 = 10√2
use pythagorean theorem
Answer:
10[tex]\sqrt{2}[/tex] inches
Step-by-step explanation:
If [tex]c^{2} = a^{2} + b^{2}[/tex] , where c is the hypotenuse and a/b are the legs, in a right triangle, then:
[tex]c^{2} = 10^{2} + 10^{2}[/tex]
[tex]c^{2} = 100 + 100\\= 200\\=> c = \sqrt{200} = \sqrt{100} \sqrt{2} = 10\sqrt{2}[/tex]
Thus, the hypotenuse is [tex]10\sqrt{2}[/tex] inches (don't forget the units!)
