Question

what is Pythagoras theorem

Answer 1

Answer:

Pythagoras theorem is a theorem made by the great mathematician Pythagoras. The theorem is about a right angle triangle . Means we can find the hypotenuse with the help of this theorem.

Step-by-step explanation:

Its theorem (formula) as given below

(H)^2 = (B)^2 + (A)^2

H = Hypotenuse

B = Base

A= Altitude ( Height )

Answer 2

Answer:

the above right triangle is used for the example

Pythagoras Theorem is an important topic in Maths, which explains the relation between the sides of a right-angled triangle

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.The theorem is named after a greek Mathematician called Pythagoras.

According to the definition, the Pythagoras Theorem formula is given as:

${hypotenuse}^{2} = {perpendcular }^{2} + {base}^{2}$

Example

The examples of theorem based on the statement given for right triangles is given below:

Consider a right triangle, given above:

Pythagoras theorem example

Find the value of x.

X is the side opposite to right angle, hence it is a hypotenuse.

Now, by the theorem we know;

Hypotenuse2 = Base2 + Perpendicular2

x2 = 82 + 62

x2 = 64+36 = 100

x = √100 = 10

Therefore, we found the value of hypotenuse here.

( Note: 2 writen above in the formula is a square)

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