## Tutoring on Right Triangles

Learning Objectives:

#### Understand to Simplify Square Roots.

Math Tutoring on Right Angles

If . Then a is the Square Root of b. i.e. . Considering only positive notation here. This is known as Principle Square Root. If the number underneath the square root is large then it is called  Radicals. To determine the square root of radicals, using of Prime Factorization of the number is used to simplify the square root. By prime factorization, we can simplify perfect square and non-perfect square root. We can even simplify the square roots by calculator also.

As per Pythagorean Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides and is opposite to the right angle.

So, by the Pythagorean Theorem, we can find any missing side of a triangle and diagonal of any right angled tetrahedron.

By the help of Pythagorean Theorem and its converse, we can determine if any triangle is an acute triangle, a right triangle or an obtuse triangle in math tutoring. We can even determine the possibility of formation of a triangle by Triangle Inequalities.

An angle is in standard position if it's vertex is at the origin and the initial side is on the positive X- axis. Angles in standard position having their terminal sides along the X-axis and Y-axis are called Quadrantal Angles.

Coterminal Angles are angles in standard position that have a common terminal side. For example, 30°, 390° and -330° all are coterminal.

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Hook Questions:

1.    What is Principle Square Root?

2.    What is Radical? How to solve it?

3.    What are the utilities of Pythagorean Theorem?

4.    What are Triangle Inequalities?

5.    What is Quadrantal Angle and Coterminal Angle? Give Example of both.

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