What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 3 and 9?

1 Answer
Lucy
May 6, 2018

The length of the hypotenuse is 3sqrt3 units

Explanation:

Using pythagoras theorem, which is a^2+b^2=c^2 where c is the longest side (it is the side OPPOSITE to the right angle) and a,b are the other two sides of the triangle. Also, pythagoras theorem only works for triangles with a right angle

3^2+9^2=c^2
9+18=c^2
c^2=27
c=+-sqrt27

Now since c is a length, c>0
therefore, c=sqrt27=3sqrt3 only

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