Question

Prove that a triangle have atleast two acut e angles

Answer 1

All triangles have three angles that must add up to 180 degrees. It is impossible to have 2 right angles in a triangle because then the measure of the third angle would be 0 (which means there isn't an angle). Two of the angles cannot be obtuse angles because the combined angle measure would over 180 degrees which isn't possible. Therefore at least two angles have to be acute since that is the only scenario (besides having 3 acute angle) for a triangle to form.