Math, asked by itzsania90, 11 days ago

hey guys plezz one question help mee plezzZ very urgent
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Answered by bantanarmy
2

Answer:

Hope it will help you

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Answered by jaspermathews26
1

Answer:

The Shortest Distance Theorem states that the shortest distance between a point P, and a line, l, is the perpendicular line from P to l. It is also called the "perpendicular distance

PROOF

Here's how you prove the Shortest Distance Theorem:

(1) PA ⊥l //Given

(2) ΔPAB is a right triangle //Definition of a right triangle, from (1)

(3) |PB|2= |PA|2+ |AB|2 //Pythagorean Theorem

(4) |AB|2>0 //Square of a non-zero number is positive

(5) |PB|2>|PA|2 //(3),(4)

(6) |PB|>|PA| //Lines have positive lengths, so the square root is positive.

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