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Given that In an acute angled triangle ABC, S is a any point on BC.
We know that sum of angles in a triangle is always greater than the third side.
Now,
(1) In ΔABS
= > AB + BS > AS ------ (1)
(2) In ΔACS
= > AC + CS > AS ------- (2)
Now,
Adding (1) & (2), we get
= > AB + BS + AC + CS > AS + AS
= > AB + AC + (BS + CS) > 2AS [BC + CS = BC]
= > AB + AC + BC > 2AS.
Hope it helps!
We know that sum of angles in a triangle is always greater than the third side.
Now,
(1) In ΔABS
= > AB + BS > AS ------ (1)
(2) In ΔACS
= > AC + CS > AS ------- (2)
Now,
Adding (1) & (2), we get
= > AB + BS + AC + CS > AS + AS
= > AB + AC + (BS + CS) > 2AS [BC + CS = BC]
= > AB + AC + BC > 2AS.
Hope it helps!
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