Question

state and prove Pythagoras theorem: NO SPAMMING ANSWER, PLEASE ​

Answer 1

Answer:

pythogoras theoram

Step-by-step explanation:

pythogoras was invented by a German scienctist it is used in triangle

Answer 2

Step-by-step explanation:

Statement: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given: ABC is a triangle in which ∠ABC=90

Construction: Draw BD⊥AC.

Proof:

In △ADB and △ABC

∠A=∠A [Common angle]

∠ADB=∠ABC [Each 90

△ADB∼△ABC [A−A Criteria]

So,

AB

AD

=

AC

AB

Now, AB

2

=AD×AC ..........(1)

Similarly,

BC

2

=CD×AC ..........(2)

Adding equations (1) and (2) we get,

AB

2

+BC

2

=AD×AC+CD×AC

=AC(AD+CD)

=AC×AC

∴AB

2

+BC

2

=AC

2

[henceproved]

HOPE THIS IS HELPFUL