Question

The lengths of the legs of a right angle triangle 12 cm and 35 cm. What is the length of the hypotenuse?

Answer 1

We know that in a right triangle 
c^2=a^2+b^2, where c is the hypotenuse
c^2=12^2+25^2=144+625=769
c=sqrt769= aprox 27.73

Answer 2

We can use the pythagorean theorem.

Allow x to be the hypotenuse.

12^2+35^2=x^2
144+1225=x^2
1369=x^2
x=37