Solving Right Triangles | How to Find Sides and Angles of a Right Triangle | Trigonometry

Solving Right Triangles | How to Find Sides and Angles of a Right Triangle | Trigonometry

Learn to find missing sides and missing angles of right triangles with the Pythagorean theorem, SOH CAH TOA, and Angle Sum Theorem

Grade 10 Math
Trigonometry Introduction.

In this video, I will show you how to find missing sides and angles of right triangles with the Pythagorean theorem, SOH CAH TOA, and Angle Sum Theorem.

FINDING SIDE LENGTH

There are 2 scenarios.
The first scenario is when you already know 2 sides, then you use the Pythagorean Theorem. The second scenario is when you only know 1 side, that's when you use the trigonometric ratios
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Using Pythagorean Theorem:
The first step is to label these triangles. The side opposite to the right angle and the longest side is labeled as "c". Then label the other two sides as "a" and "b".

Then write down the formula and manipulate it to isolate the variable that you are solving for. Then plug in the numbers and calculate the variable.
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Using trigonometric ratios - SOH CAH TOA.

The first step is to label these triangles. The side opposite to the right angle and the longest side is labeled as the "hypotenuse". The side that is opposite to the angle given is the opposite side, and the remaining side is the adjacent side.

Then write down the information given in the question. Based on the information given, determine your trig ratio. Then manipulate the ratio to isolate the variable that you are solving for. Then plug in the numbers and calculate the variable.

Note: Do NOT use the second function key on the calculator when solving for side length. Only use that when solving for angles.
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FINDING ANGLES

There are 2 scenarios.
The first scenario is when you already know 2 angles, then you use the Angle Sum Theorem. Angle Sum Theorem states that the sum of all interior angles in a right triangle is 180°.

The second scenario is when you only know 1 angle, that's when you use the trigonometric ratios - SOH CAH TOA.

The first step is to label these triangles. The side opposite to the right angle and the longest side is labeled as the "hypotenuse". The side that is opposite to the angle that you need to find is the opposite side, and the remaining side is the adjacent side.

Then write down the information given in the question. Based on the information given, determine your trig ratio. Then manipulate the ratio to isolate the variable that you are solving for. Then plug in the numbers and calculate the variable.

Note: USE the SECOND function key on the calculator when solving for angles.

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Playlists:

Grade 10 Math

Trigonometry Introduction

Grade 10 Chemistry

Grade 9 General Chemistry

Grade 9 Electricity Unit (Unit D)

Ionic vs. Molecular

Math 7 - Unit 2: Integers

Grade 7 Math

Organic Chemistry Introduction

Esters

Carboxylic Acids

Alcohols

Cyclic Compounds / Cycloalkanes

Alkenes

Alkanes

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[MillennialMommy]

This is super useful! Trigonometry was seriously the place I struggled the most with math and you just break it down super easy! Thank you 🙏🏻 love all your videos

[nikitaj]

This is very useful in helping assist out children in school

[TheSaundersPack]

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