Question

Length of the hypotenuse of a right angled triangle is 61 cm
It's one side is 11cm find the length of the other side

Answer 1

We know from Pythagoras theorem that
Square of hypotenuse = Sum of squares of other two sides
Let the missing side be x
Now by substituting the values from the question we get...
${61}^{2} = {x}^{2} + {11}^{2} \\changing \: signs \: as \: changing \: sides \\ = > {x}^{2} = {61}^{2} - {11}^{2} \\ = > {x}^{2} = 3721 - 121 \\ = > {x}^{2} = 3600 \\ = > x = \sqrt{3600} \\ = > x = 60$

So the length of other side is 60cm