Question

find the length of the hypotenuse of a right triangle whose legs like 3 and squared root 2
○2square root 2

○square root 11
○square root 13

Answer 1

Square root of 11 is the answer
2 + 3^2 = c^2
2 + 9 = c^2
11 = c^2

Answer 2

Find the length of the hypotenuse of a right triangle whose leg lengths are 3 and square root 2:

Use the Pythagorean Theorem here.  Square 3 and square [sqrt(2)], and then find the sqrt of the sum:  9 + 2 = 11.

The hyp. length is then +sqrt(11).