Pythagorean Theorem / Distance Formula CW Use the Pythagorean Theorem / Distance Formula to find the lengths of the missing sides. 1. 3. 2. у y 1 Al-2,3) B(1,2) Al-3,-1) 1 B(1, -2) 1 B13,0) A-1, -1)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation: the answer is 27. first multiply .32 by 25 which equals 8. then add 8 to 25 which gives you 33. then you subtract that from 6 since she gave 6 to her brother.

,, add !

2

step-by-step explanation: