58
votes
4answers
1k views

Probability that a stick randomly broken in five places can form a tetrahedron

Randomly break a stick in five places. Question: What is the probability that the resulting six pieces can form a tetrahedron? Clearly satisfying the triangle inequality on each face is a necessary ...
-1
votes
2answers
357 views

In △ ABC, D is the midpoint of AB, while E lies on BC satisfying BE = 2EC. If m∠ADC=m∠BAE, what is the measure of ∠BAC in degrees?

In △ABC, D is the midpoint of AB, while E lies on BC satisfying BE = 2EC. If m∠ADC=m∠BAE, what is the measure of ∠BAC in degrees? I know already that angle A and angle D are congruent because ...