Find the approximate length of the leg of a right triangle with one leg length 8 and hypotenuse length 19

So, teh exact value is sqrt (19^2 - 8^2) = sqrt (361-64) = sqrt (297).

There's people who can calculate this mentally, but I can't. Approximate by known squares: 15^2 = 225, 16^2 = 256, 17^2 = 289, 18^2=324,

So, 18.

Pythagorean:

hypotenuse^2 = base^2+height ^2

19^2=8^2+height ^2

height^2 = (19-8) (19+8)

height ^2=11.27

height ~17,74