Which BEST describes the construction of a triangle if given one side length of 8 cm and one 90 ° angle? A) Unique triangle B) More than one triangle C) Triangle not possible D) Cannot be determined

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation:

nswer: a   y-axis

step-by-step explanation:

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