Question

For the right triangle shown, the lengths of two sides are given. Find the third side. Leave your answer in simplified, radical form. a = 5, b = 10, c =

Answer 1

5^2 + 10^2 = 125
c^2 = 125
c = √125 = √(25•5) = = 5√5

Answer 2

Use the pythagoras theorem
I am assuming that the 2 given sides are the legs of the right-angled triangle

third side l^2 = 5^2 + 10^2 = 125
l = sqrt 125 = 5 sqrt5