Question

PLEASE HELP FAST...WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER

Answer 1

Answers

I got answer 16.9

Step-by-step explanation:

1. Let's first look at triangle XYC. We know angle Y is 90 degrees because it has the symbol. and it is given that Angle X 45 degrees. Using the triangle interior angle theoreom, a triangle has 180 degrees so Angle C is 45 degrees. Know let find the sides, First we can deduce XY is 5 cm because of the triangle midsegment theorem XY is half of BC so since we know BC is 10  that means XY is 5.  Then applying 45-45-90 triangle rules, XY=5, YC=5 and XC=$5\sqrt{2}$.

2.Now let look at the triangle XBC. Let find one  missing angles. In the triangle . A  angle bisector  XC bisects XY and BC  . Using that information Angle C of XYC = Angle C of XBC. So angle C=45 degrees. Knowing looking at the main triangle ABC  Angle A=30, Angle C= 45+45=90 and Angle B=60 by interior triangle theorem. So going back to Angle X so angle x is 75 degrees due to interior triangle theorm. Also since Y=90 degrees it forms a linear pair to triangle AXY so Y=90 for AXY

Now let apply 30-60-90 triangle rules to AXY. XY =5, AY=$5\sqrt{3}$ and AX=10.  

Finally. Apply 30-60-90 triangle rules to ABC. AC=$5\sqrt{3}$ +5 BC=10 and AB should turrn out to be 16.9.

This may not be right,but good luck:)