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.

- mbma526

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- mbma526

|dw:1439913502019:dw|

- mbma526

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- anonymous

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## More answers

- anonymous

The sum of the other angles totals up to 90°.

- mbma526

thank you @ChiefArnav

- triciaal

what are the properties of an isosceles triangle?
all angles in a triangle add up to 180

- mbma526

so they are both 90 @triciaal

- misty1212

Hi!!

- misty1212

isosceles means two sides are equal right?

- mbma526

yes

- misty1212

so lets see if we can draw a right triangle with both legs that look about equal

- misty1212

|dw:1439920586813:dw|
here is my attempt

- mbma526

yes those are equl i think

- misty1212

ok
now it is clear that if the two legs are equal, the two angles are equal as well?

- mbma526

yes

- 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

yea

- misty1212

so what is half of 90?

- mbma526

45

- misty1212

ok so we have completed finding all the angles of that right isosceles|dw:1439920814239:dw| triangle

- mbma526

thank you

- misty1212

\[\color\magenta\heartsuit\] ready to move on?

- mbma526

yes

- misty1212

you want to draw an equilateral triangle?

- mbma526

yes
|dw:1439920937368:dw|

- 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

60

- misty1212

so they are all equal 60 right

- mbma526

yes

- 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

last part only

- misty1212

you want to draw some right triangle?

- mbma526

yes|dw:1439921167405:dw|

- misty1212

ok that looks good

- mbma526

thank you

- 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

therefore each must be less than 90

- mbma526

so it would have to be 45

- anonymous

who deleted my post

- misty1212

no they could be anything
but their total has to be less than 90

- mbma526

oh ok

- mbma526

@misty1212

- anonymous

easy

- anonymous

|dw:1440022658129:dw| sorry im bad at drawing

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