Math, asked by krusha1, 1 year ago

state and prove Pythagoras theorem

Answers

Answered by harikaphani152

(AB)^2+(BC)^2=(AC)^2
it is the Pythagoras theorem

krusha1: thankuuu

Answered by Zsparsh

The “Pythagorean theorem,” was inspired by the ancient Greek Mathematician Pythagoras who invented the theorem during 500 B.C. It has been argued that the “Ancient Babylonians” already understood the theorem long before the invention by Pythagoras. They knew the relationship between the sides of the triangle and while solving for the hypotenuse of an isosceles triangle, they came up with the approximate value of up to 5 decimal places.

Zsparsh: To prove Example- Prove the Pythagoras Theorem for a right angle triangle having sides to be 3cm, 4cm and 5 cm.
Solution –
From Pythagoras Theorem we have,
(
P
e
r
p
e
n
d
i
c
u
l
a
r
)
2
+
(
b
a
s
e
)
2
=
(
H
y
p
o
t
e
n
u
s
e
)
2

Perpendicular = 3 cm
Base = 4 cm
Hypotenuse = 5 cm
(
3
)
2
+
(
4
)
2
=
(
5
)
2

⇒
9
+
16
=
25

⇒
25
=
25

L.H.S. = R.H.S.
Therefore Pythagoras theorem is proved.
Right Angled Triangle

krusha1: thanks... so much

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