Question

Find the length of the third side. if necesary write in simplest radical form.

Answer 1

Recall that in a right triangle we can use the Pythagorean theorem:

`c^2=a^2+b^2,`

where a and b are the lengths of the legs and c is the length of the hypotenuse.

Now, the given triangle has legs of length 5 and 2, therefore:

`c^2=5^2+2^2=25+4=29.`

Solving the above equation for c we get:

`c=\sqrt[]{29}.`

Answer:

`\sqrt[]{29}.`