How would you describe the angles and sides of an acute, isosceles triangle?

1 Answer
Nov 27, 2015

An isosceles must have #2# equal side lengths and #2# equal angles only.

Explanation:

An isosceles triangle looks something like:

http://mathworld.wolfram.com/IsoscelesTriangle.html

  • Any isosceles triangle has two equal sides, which are both indicated by the variable #b#. This means that the left side's length #b# is equal to the right side's length #b#.
  • Any isosceles triangle also has two equal angles, which are both indicated by the line at each angle.

With this information, we can state that for a triangle to be isosceles, it must have #2# equal side lengths and #2# equal angles.

If #b# was not equal to #b#, then the triangle is not isosceles. Similarly, if the angles were not equal to each other, the triangle is not isosceles.