Question

MEDAL AND FAN!
Suppose you know that the mid segments of a triangle are all 3 units long. What kind of triangle is it?



An
Blank 1
(isosceles, equilateral) triangle with sides
Blank 2
units long

Answer 1

If we know the mid segments of the triangle are all equal, here is how we can proceed:

We have an inner triangle that is equilateral. This inner triangle is now similar to our original triangle because we have taken three mid segments who's lengths are all 3.

Because we know mid segments show the midpoint of our side lengths, and all mid segments are equal to three, we can conclude by SSS that all similar

triangles created have the same side length.

Thus we have an isosceles, equilateral triangle with side lengths 6 units long.

Answer 2

also, If all sides in a triangle are equal, all angles must be equal. therefore we have an equilateral triangle.

Answer 3

The midsegment joins the midpoints of two sides of a triangle and has measure half that of the third side and is parallel to the third side.

Answer 4

Blank 2 is ? units long