mbma526
  • mbma526
Will fan and Medal Draw a triangle that is both a right triangle and an isosceles triangle. You can use either pencil and paper, or a draw program. Label the angles. What are the measurements of the angles that are not equal to 90 degrees? Describe the two sides opposite the angles that are not equal to 90 degrees. Now draw an equilateral triangle. Label the measurements of the angles. Can an equilateral triangle ever be a right triangle too? Explain your answer. Finally, draw a right triangle. Can this triangle ever have an obtuse angle? Explain your answer.
Mathematics
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jamiebookeater
  • jamiebookeater
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mbma526
  • mbma526
|dw:1439913502019:dw|
mbma526
  • mbma526
@ganeshie8
anonymous
  • anonymous
http://prntscr.com/862whi

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More answers

anonymous
  • anonymous
The sum of the other angles totals up to 90°.
mbma526
  • mbma526
thank you @ChiefArnav
triciaal
  • triciaal
what are the properties of an isosceles triangle? all angles in a triangle add up to 180
mbma526
  • mbma526
so they are both 90 @triciaal
misty1212
  • misty1212
Hi!!
misty1212
  • misty1212
isosceles means two sides are equal right?
mbma526
  • mbma526
yes
misty1212
  • misty1212
so lets see if we can draw a right triangle with both legs that look about equal
misty1212
  • misty1212
|dw:1439920586813:dw| here is my attempt
mbma526
  • mbma526
yes those are equl i think
misty1212
  • misty1212
ok now it is clear that if the two legs are equal, the two angles are equal as well?
mbma526
  • mbma526
yes
misty1212
  • misty1212
and it is also true that the total degrees in a triangle with be 180 you have already used up 90 in the right angle, which means both of those equal angles together must add up to 90 degrees
mbma526
  • mbma526
yea
misty1212
  • misty1212
so what is half of 90?
mbma526
  • mbma526
45
misty1212
  • misty1212
ok so we have completed finding all the angles of that right isosceles|dw:1439920814239:dw| triangle
mbma526
  • mbma526
thank you
misty1212
  • misty1212
\[\color\magenta\heartsuit\] ready to move on?
mbma526
  • mbma526
yes
misty1212
  • misty1212
you want to draw an equilateral triangle?
mbma526
  • mbma526
yes |dw:1439920937368:dw|
misty1212
  • misty1212
nice one again the sum of the measure of the angles is 180 and since all the sides are the same, all the angles are also the same so what is one third of 180?
mbma526
  • mbma526
60
misty1212
  • misty1212
so they are all equal 60 right
mbma526
  • mbma526
yes
misty1212
  • misty1212
Can an equilateral triangle ever be a right triangle too? Explain your answer. NO since all the angles are 60, none are 90!!
misty1212
  • misty1212
last part only
misty1212
  • misty1212
you want to draw some right triangle?
mbma526
  • mbma526
yes|dw:1439921167405:dw|
misty1212
  • misty1212
ok that looks good
mbma526
  • mbma526
thank you
misty1212
  • misty1212
Can an equilateral triangle ever be a right triangle too? Explain your answer. no, since "obtuse" means bigger than 90 you have already used up 90 in the right angle, so you only have 90 left for the other two angles
misty1212
  • misty1212
therefore each must be less than 90
mbma526
  • mbma526
so it would have to be 45
anonymous
  • anonymous
who deleted my post
misty1212
  • misty1212
no they could be anything but their total has to be less than 90
mbma526
  • mbma526
oh ok
mbma526
  • mbma526
@misty1212
anonymous
  • anonymous
easy
anonymous
  • anonymous
|dw:1440022658129:dw| sorry im bad at drawing

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