Question

A right triangle has one side of length 11 and a hypotenuse of length 12. How long is the third side of the triangle?

Answer 1

use pythagorean theorem

Answer 2

a^2+b^2=c^2

Answer 3

a and b are legs and c is the hypotenuse

Answer 4

so is it 2?

Answer 5

No, its not 2.

Answer 6

\[a^{2}+b^{2}=c^{2}\]

Answer 7

\[11^{2}+b^{2}=12^{2}\]

Answer 8

\[121+b^{2}=144\]

Answer 9

\[b^{2}=144-121\]

Answer 10

\[b^{2}=23\]

Answer 11

\[\sqrt{b^{2}}=\sqrt{23}\]

Answer 12

So, \[b=\sqrt{23}\]