Triangle abc is a right triangle if side ac=7 and bc=10 whats the measure of side ab

If ab is the hypotenuse (the longest side)

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

7^2 + 10^2 = c^2

49 + 100 = c^2

149 = c^2 ... now take sq rt of both sides ... this gets rid of the ^2

sq rt 149 = c

12.21 = c

if ab is a leg

a^2 + b^2 = c^2

7^2 + b^2 = 10^2

49 + b^2 = 100

b^2 = 100 - 49

b^2 = 51

b = sq rt 51

b = 7.14