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Show that of all line segments drawn from a given point not on it,the perpendicular line segment is the shortest.

Posted by Merina Tuzzahan 5 years, 1 month ago

CBSE > Class 09 > Mathematics

4 answers

Merina Tuzzahan 5 years ago

A bus starting from rest moves with a uniform acceleration of 0.1 ms-² for 2min. Find (a) the speed acquired, (b) the distance travelled.

Ayushmaan Singh 5 years, 1 month ago

https://www.teachoo.com/1194/440/Ex-7.4--6---Show-that-of-all-line-segments-drawn-from-a/category/Ex-7.4/

Nandana Anoop 5 years, 1 month ago

Wrong

Yogita Ingle 5 years, 1 month ago

Let L is a line And A is a point not on the line L.

Now draw AC perpendicular to L.

Again let D is a point on L other than C.

Now in triangle ACD

∠C = 90

Since ∠A + ∠C + ∠D = 180

=> ∠A + ∠D = 180 - ∠C

=> ∠A + ∠D = 180 - 90

=> ∠A + ∠D = 90

So ∠D is an acute angle.

So ∠C > ∠D

=> AD > AC (since opposite to greater angle is greater)

=> AC < AD

So all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

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