Answer
(3, 4, 5) is a Pythagorean Triple. γ lies opposite the
longest side and must be a right angle.
Work Step by Step
To measure the value of r,
We need to use the law of cosines
Since the sides of the triangle is given. They are Pythagorean triplet
$c^{2}$ = $a^{2}$ +$b^{2}$
$5^{2}$ = $3^{2}$ +$4^{2}$
25 = 9 + 16
25 = 25