Here is a triangle. C equals the hypotenuse, which is the longest side, representing "X". Let us try calculating it. Watch closely.
6² + 8² = c²
now we will square six and eight.
36 + 64 = c²
now we will find out how to find c.
First, we will add it.
36 + 64 = 100.
Since c is squared, we will now find its square root, which is 10. So the answer is 10.
Do you ever wonder how the Pythagorean theorem can be applied?
You can use it to see if the triangle is right-angled or not.
In a right-angled triangle, we can calculate the length of any side if the other two .
To find the diagonal of a square.
What is it useful for?
Pythagoras theorem is useful to find the sides of a right-angled triangle. If we know the two sides of a right triangle, then we can find the third side.
How exactly do I use it?
To use Pythagoras theorem, remember the formula given below:
c² = a² + b²
Where a, b and c are the sides of the right triangle.
For example, if the sides of a triangles are a, b and c, such that a = 3 cm, b = 4 cm and c is the hypotenuse. Find the value of c.
We know,
c² = a² + b²
c² = 3² +4²
c² = 9+16
c² = 25
c = √25
c = 5 cm
Like that, the length of the hypotenuse is 5 cm.