Learning Objectives:

__Math Tutoring on Right Angles__

If . Then a is the S**quare 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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