if P,Q and R lie on same no. line and Q lies between P and R then prove PQ+OR=PR
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Answered by
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Hola‼.........❤
The proof is explained step-wise below :
Given that : P,Q and R are three points on a line and Q lies between P and R
To Prove : PQ + QR = PR
Proof : Consider a point Q which lies between the points P and R of the line segment PR. Then it implies that PQ + QR will coincide with the line segment PR.
Now, By using the Euclid's fourth axiom which states that things which coincide with each other are equal to each other.
So, By using Euclid's fourth axiom, We get
PQ + QR = PR
(proved)
Hope it’s helpful....... ☺
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