The Triangle Angle-Sum Theorem just states that the angles of any triangle must add up to be 180 degrees. For example, suppose you have triangle ABC and m<A=65 and m<B=36. Well, what is the measure of angle C? We can solve for <C by using the Triangle Angle-Sum Theorem. All we do is set up an equation like so: m<A + m<B + m<C = 180. Now just fill in the values we know, so the equation is now: 65 + 36 + x = 180. Now simply and solve for x and you get that x=79. Just to check you work, add up 65, 36, and 79 and you will get 180.
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An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle.
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
It is Pythagoras' theorem that states for any right angle triangle when its hypotenuse is squared it is equal to the sum of its squared sides.
It is Pythagoras' theorem that states for any right angle triangle its hypotenuse when square is equal to the sum of its squared sides.
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.