does the side lengths 8,15,17 make a right triangle

does the side lengths 8,15,17 make a right triangle

a = 8    b = 15    c = 17

$$\\ \small{\text{ $ a^2 \stackrel?= c^2-b^2 =(c-b)(c+b) $ }}$\\$ \small{\text{ $ a^2 \stackrel?= (c-b)(c+b) $ }}$\\$ \small{\text{ $ 8*8 \stackrel?= (17-15)(17+15) $ }}$\\$ \small{\text{ $ 64 \stackrel?= (2)*(32) $ }}$\\$ \small{\text{ $ 64 = 64 $ }}$$

Yes, it is a right triangle

Well does 17 ^2

Equal

8^2+15^2

If it does then it is a right angled triangle