anonymous
  • anonymous
HELP is anyone in connexus!!? geometry B and can help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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DanJS
  • DanJS
i did that polygon similarity one you closed
anonymous
  • anonymous
@DanJS thank you Dan mind helping me again
DanJS
  • DanJS
sure

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anonymous
  • anonymous
I need to find the value of x and y but im confused as to how
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DanJS
  • DanJS
first thing i see is just to set up 2 pythagorean theorems, and solve for x and y
DanJS
  • DanJS
maybe, might be too much work
anonymous
  • anonymous
im just confused im not sure how to get it
DanJS
  • DanJS
Triangle ABC and Triangle BDC are similar, they both have 3 of the same angles
DanJS
  • DanJS
since both have a right angle and the same marked angle, so the third angle is the same
DanJS
  • DanJS
so you can do ratios of the sides like last prob
DanJS
  • DanJS
\[\frac{ AB }{ BD } = \frac{ BC }{ AC } = \frac{ BC }{ DC }\]
DanJS
  • DanJS
\[\frac{ 5 }{ 3 } = \frac{ y }{ x+4 } = \frac{ y }{ x }\]
DanJS
  • DanJS
You can solve that for x and y
anonymous
  • anonymous
can you show me how to?
anonymous
  • anonymous
yes kinda
anonymous
  • anonymous
Not gonna lie im a bit lost by that
DanJS
  • DanJS
sorry that is false, i messed up
anonymous
  • anonymous
oh lol okay
DanJS
  • DanJS
ok, i just used two pythagorean theorems, and got x = 9/4 and y=15/4
DanJS
  • DanJS
Solving 5^2 + y^2 = (4+x)^2 and 3^2 + x^2 = y^2
DanJS
  • DanJS
did it on my calculator, no work
anonymous
  • anonymous
Hmmm thank you dan :)
DanJS
  • DanJS
welcome
mathstudent55
  • mathstudent55
In a right triangle, if an altitude is drawn to the hypotenuse, then all three triangles are similar. This is the situation with this problem. Start with triangle ABC. Since angle ABC is a right angle, triangle ABC is a right triangle. Segment BD is the altitude of triangle ABC drawn to the hypotenuse of triangle ABC. That means that triangles ABC, ADB, and BDC are similar triangles. Once you know the triangles are similar, then the lengths of corresponding sides are proportional, so you can write these two proportions: \(\dfrac{AB}{BC} = \dfrac{AD}{BD} \) and \(\dfrac{AD}{BD} = \dfrac{BD}{DC} \) Replacing all segments by their given lengths, x, and y, you get: \(\dfrac{5}{y} = \dfrac{4}{3} \) and \(\dfrac{4}{3} = \dfrac{3}{x} \) \(4y = 15\) \(4x = 9\) \(y = \dfrac{15}{4} = 3.75\) \(x = \dfrac{9}{4} = 2.25\)

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