Question

https://media.glynlyon.com/g_geo_2013/5/groupi61.gif

Find x.



2√5

3√5

6

Answer 1

@mikemike97

Answer 2

\(\Large x^2=y^2+4^2\) (1)
\(\Large z^2=y^2+5^2\) (2)
and \(\Large 9^2=x^2+z^2 \Rightarrow z^2=81-x^2\) (3)
Thus,
From (2),(3):\(\Large y^2+25=81-x^2 \Leftrightarrow x^2=56-y^2\) (4)
(1),(4) \(\Large \Rightarrow y^2+16=56-y^2 \\\Large \Leftrightarrow 2y^2=40\\\Large y=\sqrt{20}=2\sqrt{5}\)

Answer 3

I used Pythagorean theorem

Answer 4

https://media.glynlyon.com/g_geo_2013/5/groupi60.gif

Side AB in triangle ABD corresponds to which side of triangle ABC?



AB

BC

AC

Answer 5

@JungHyunRan how about this one

Answer 6

AB is the hypotenuse of triangle ABD
AC is the hypotenuse of triangle ABC

So, the answer is : AC