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The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.

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Before you proceed to our topic, kindly watch this videos. It will help you to have a better understanding on our topic for today.

https://youtu.be/uthjpYKD7Ng

https://youtu.be/EPh8tQQe7qA

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Here are the formulas that will help you to find the missing side of a triangle.

a² + b² = c²
a² = c² - b²
b² = c² - a²

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a = opposite
b = adjacent
c = hypotenuse

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Steps in finding the missing side of a Triangle using Pythagorean Theorm:

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Steps in finding the missing side of a Triangle using Pythagorean Theorm:

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Note: If hypotenuse(c) are missing. it's simply. a² + b² = c²
Here. To solve to equation.
1. we just simply add the squared of the opposite and squared of adjacent.
2. Then, square root the answer.

Let's try this one.
a = 6
b = 8
c = ?

Now, let's substitute.

a² + b² = c²
6² + 8² = c²
36 + 64 = c²
√100 = √c²
10 = c

Therefore, the hypotenuse is 10.

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Note: If opposite(a) are missing. we will be using. a² = c² - b²
Here. To solve to equation.
1. subtract the squared of adjacent to the squared of hypotenuse.
2. Then, square root the answer.
Let's say;
a =
b = 4
c = 5

Now, let's substitute the given numbers.
a² = c² - b²
a² = 5² - 4²
a² = 25 - 16
√a² = √9
a = 3

Therefore, the opposite is 3.

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Note: If adjacent(b) are missing. we will be using. b² = c² - a²
Here. To solve to equation.
1. subtract the squared of opposite to the squared of hypotenuse.
2. Then, square root the answer.
Let's say;
a = 6
b =
c = 10

Now, let's substitute the given numbers.
b² = c² - a²
b² = 10² - 6²
b² = 100 - 36
√b² = √64
b = 8
Therefore, the adjacent is 8.

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Activity: Find the missing side of Triangle using the Pythagorean Theorem

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Activity: Find the missing side of Triangle using the Pythagorean Theorem

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1. a = ?, b= 6, c= 10
2. a = 2, b= 3, c= ?
3. a = 5, b= ?, c= 8
4. a= ?, b = 3, c= 5
5. a = 6, b= ?, c= 10