Question 9(Multiple Choice Worth 1 points) (04.01 MC)
How can you prove a triangle is isosceles?

⇒You will be able to tell because a triangle which has two sides of equal length is isosceles.

The Isosceles Triangle Thearem states: If two sides of a triangle are congruent, then angle opposite those sides are congruent.

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

four boxes of pizza

hope this