Question

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.

Answer 1

@ganeshie8

Answer 2

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Answer 3

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

Answer 4

thank you @ChiefArnav

Answer 5

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

Answer 6

so they are both 90 @triciaal

Answer 7

Hi!!

Answer 8

isosceles means two sides are equal right?

Answer 9

yes

Answer 10

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

Answer 11

here is my attempt

Answer 12

yes those are equl i think

Answer 13

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

Answer 14

yes

Answer 15

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

Answer 16

yea

Answer 17

so what is half of 90?

Answer 18

45

Answer 19

ok so we have completed finding all the angles of that right isosceles triangle

Answer 20

thank you

Answer 21

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

Answer 22

yes

Answer 23

you want to draw an equilateral triangle?

Answer 24

yes

Answer 25

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?

Answer 26

60

Answer 27

so they are all equal 60 right

Answer 28

yes

Answer 29

Can an equilateral triangle ever be a right triangle too? Explain your answer.
NO since all the angles are 60, none are 90!!

Answer 30

last part only

Answer 31

you want to draw some right triangle?

Answer 32

yes

Answer 33

ok that looks good

Answer 34

thank you

Answer 35

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

Answer 36

therefore each must be less than 90

Answer 37

so it would have to be 45

Answer 38

who deleted my post

Answer 39

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

Answer 40

oh ok

Answer 41

@misty1212

Answer 42

easy

Answer 43

sorry im bad at drawing