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?



1

23

square 265

square 23

Answer 1

\[\sqrt{23}\]

Answer 2

can you tell me why

Answer 3

do you know Pythagoras theorem?

Answer 4

yes

Answer 5

so H^2= B^2+P^2
12^2= 11^2+P^2
P^2=12^2-11^2
undrtP=undert23


you get it now ?

Answer 6

yep

Answer 7

great :D

Answer 8

let x be the length of the third side.

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

\[x ^{2} = 12^{2} - 11^{2}\]

\[x = \sqrt{144 - 121}\]

\[x = \sqrt{23}\]