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.
The theorem that states every triangle's angles add up to 180 degrees
The sum of all inner angles within a triangle is 180 degrees.
complementary
The sum of the interior angles of a triangle in euclidean geometry equal 180 degrees
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.
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.
triangle sum theorem
Pythagoras' theorem is only applicable to a right angle triangle in that the square of its hypotenuse is equal to the sum of its two squared sides.
A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.
The converse of Pythagoras's theorem states :- "If the square of one side of a triangle is equal to the sum of square of other two sides then the triangle is a right angled triangle""
It is Pythagoras' theorem that states for any right angle triangle its hypotenuse when square is equal to the sum of its squared sides.
It is Pythagoras' theorem that states for any right angle triangle the square of its hypotenuse is equal to the sum of its squared sides.