Eric J.

asked • 03/02/23

How can I be sure to find "all the possibilities"?

By making a straight cut through one vertex of an isosceles triangle, Dylan dissected the triangle into two smaller isosceles triangles. Find the angle sizes of the original triangle. There is more than one possibility. How can you be sure that you have found them all?

Brenda D.

tutor
Do you have a diagram of the Original Triangle associated with your question? If not, you should draw an Isosceles triangle, dissect it into two smaller isosceles. You should also look into dissecting triangles in your text or online to confirm that a straight cut as above yields other Isosceles triangles
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03/02/23

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Mark M. answered • 03/02/23

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Draw any isoscels triangle.

Dylan first bisects the vertex, Do the same. Are two isosceles triangles formed?

Dylan first bisects one of the base angles. Does this form two isosceles triangles? Why?

What must the base angles be inoder for the triangle to be isosceles?

What must the vertex angle of the original traingle be?

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