Q17. Find the distance between point (0, 1) and midpoint of the line segment joining the point (5, 7) and (1,3).
Answers
Answer:
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5
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.
Given :- Find the distance between point (0, 1) and midpoint of the line segment joining the point (5, 7) and (1,3). ?
Solution :-
we know that, mid point of (a,b) and (c,d) is :-
- (a + c/2 , b + d/2) .
Let mid point of (5,7) and (1,3) is (x,y) .
so,
→ x = (5 + 1)/2 = 6/2 = 3
→ y = (7 + 3)/2 = 10/2 = 5
then, distance between (0,1) and (3,5) is,
→ D = √[(x2 - x1)² + (y2 - y1)²]
→ D = √(3 - 0)² + (5 - 1)²
→ D = √(3² + 4²)
→ D = √(9 + 16)
→ D = √(25)
→ D = 5 units (Ans.)
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