anonymous
  • anonymous
Part 1: Prove the triangles are similar. Part 2: Determine the height of the house
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
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ganeshie8
  • ganeshie8
It is given that the angles on either side of mirror are congruent, so we have one congruent Angle pair. Also, the angles at foot of house and Annie are right angles, each equal to 90. so we have a second congruent Angle pair. Thus, by AA similarity the two triangles in hte diagram are similar.
ganeshie8
  • ganeshie8
for Part2, you must setup an useful proportion

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anonymous
  • anonymous
for step 2 whta?
anonymous
  • anonymous
*what
ganeshie8
  • ganeshie8
when we have similar triangles, wat we do ? we setup proportions !
ganeshie8
  • ganeshie8
:) lets try to setup some useful proportion, which gives us the height of house
anonymous
  • anonymous
so figures that have the same shape are similar
anonymous
  • anonymous
and similar figures are congruent
anonymous
  • anonymous
congruent angles
anonymous
  • anonymous
and matching sides are proportional ... thats what i know
ganeshie8
  • ganeshie8
\(\large \large \frac{5}{4} = \frac{x}{15}\) solve x, x is the height of building
anonymous
  • anonymous
x=18.75
ganeshie8
  • ganeshie8
yes !
anonymous
  • anonymous
yay!!! thank you!
ganeshie8
  • ganeshie8
:)

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