Pythagoras Theorem

Pythagoras Theorem is one of Maths most enjoyable theories. This theorem is used when we have to find the Hypotenuse ( the opposite side of the base and altitude of a right angle triangle [ see image ]).

This only works when one angle is 90 degrees or right angled.

The formula states that the sum of the base squared and the altitude squared is equal to the hypotenuse squared!

If we wrote this as a mathematical formula, it would be : a² + b² = c^2, where a is the base, b is the altitude and c is the hypotenuse.

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Now, let’s do an example.

Let’s say the altitude is 3 and base is 4. What is the hypotenuse? You can use base = a, altitude = b, and c = hypotenuse.

Let’s find out.

So,

3 squared = 9

4 squared = 16

Now, let’s add them.

9+16=25

Now, we know that a² + b² is also equal to c^2. Now here is where we must focus. Since the answer we get that is 25, is equal to c², and not simply c. And since what we want is c, we find c^2‘s root. Here, it will be root 25, which is 5!

So, the answer is 5!

Now go ahead and try this one—

Base = 8

Altitude = 6

Hypotenuse = x

Find x.

Have Fun! Mail us for any doubts, and also if you wanna check your answer.