Students are often unsure why angles in the same segment of a circle have to be equal. Colin Foster explains how to make it ...

A high school teacher didn't expect a solution when she set a 2,000-year-old Pythagorean Theorem problem in front of her students. Then Calcea Johnson and Ne'Kiya Jackson stepped up to the challenge.

Solution: After drawing isosceles triangle ABC and drawing altitude AD, we observed that BD = DC. So AD is also a median. EXERCISE 6.2 1. Find the value of the unknown exterior angle x in the ...

The cosine of this angle is the length of the horizontal side divided by the hypotenuse. The Pythagorean theorem is therefore equivalent to the equation sin 2 x + cos 2 x = 1.

Reverse mathematics seeks the best system of axioms required to prove a set of theorems. Its essence is to “work backwards”, using theorems as a starting point and proving that the axioms ...