What additional information is needed to prove the triangles are congruent by the SAS postulate

Step-by-step explanation:

The additional information needed to prove the triangles are congruent by the SAS postulate:

If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles 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

c. 6tan80

step-by-step explanation: