Triangle Angle Sum Theorem: If you _________ the __________ of a triangle, the sum is ________.
Find the missing angle:
What is Trigonometry?
The angles have a relationship and the sides have a relationship. Do you see any patterns in the sides?
If you are substituting into the formula: a2 + b2=c2 numbers for a, b, and c; what would the order of operations be to solve for one of the variables?
add together, angles, 180 degrees
To find the missing angle in a triangle, you can add together the measures of the known angles and subtract that sum from 180 degrees.
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
In a right triangle, the side opposite the right angle is called the hypotenuse. The other two sides are called the legs. The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs (a^2 + b^2 = c^2).
To solve for one of the variables in the Pythagorean theorem formula, you would follow the order of operations by squaring the numbers, adding them together, and then taking the square root to find the value of the variable.
Interior angles
Triangle Angle Sum Theorem
Vertex
The interior angles of a triangle are the angles that are inside the triangle and add up to 180 degrees.
The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
The vertex of a triangle is a point where two sides of the triangle meet. It is also known as a corner or an apex.