Question

Find the length of the third side. If necessary, write in simplest radical form.

Answer 1

Answer:

10

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + (sqrt(19))^2=c^2

81+19 = c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 = c

The hypotenuse is 10