explain pythagoras theorem and give 1 example - Maths - The Triangle and its Properties

Question

explain pythagoras theorem and give 1 example

Lalit Mehra · Accepted Answer

Hi!
Here is the answer to your query
Pythagoras Theorem:
In a right triangle, the square of the hypotenuse is equal
to the sum of the squares of the other two sides of the
triangle
In a right triangle, side opposite to the 90° is always
the hypotenuse
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âˆ†ABC is a right triangle, right angled at
B
∴ AC2 = AB2 + BC2
(Pythagoras Theorem)
Example:
ΔABC is a right triangle right angled at B If AC = 25 cm
and AB = 15 cm, then find the side BC
ΔABC is a right-angled triangle, right-angled at B
∴AC2 = AB2 + BC2
(Pythagoras theorem)
⇒152 + BC2 =
252
⇒BC2 = 252 −
152
⇒BC2 = 625 − 225
⇒BC2 = 400
⇒BC2 = 202
∴ BC = 20 cm
Cheers!