The legs of right angle triangle are and
.
Find the length of the hypotenuse.
\Pythagorean theorem:
\ If a triangle is a right triangle, then the sum of the squares of the lengths of the legs and
equals the square of the length of the hypotenuse
.
(Formula for hypotenuse)
(Substitute
and
)
(Evaluate powers:
and
)
(Add:
)
(Take Square root of each side)
(Substitute:
)
Therefore, the length of the hypotenuse is .
The length of the hypotenuse is .