In a triangle ABC, angle A= angle B = 62 1/2°
then the longest side is
(a) AC
(b) BC
(c) AB
(d) none of these
There is no diagram.
Answers
Answer:
d
Step-by-step explanation:
equal angle posses equal sides
Given : a triangle ABC
∠ A=∠ B = 62 1/2°
To Find : the longest side
Solution:
in a triangle sum of angles is 180°
Hence
∠ A=∠ B + ∠C= 180°
∠ A=∠ B = 62 1/2° = 62.5°
=> 62.5° + 62.5° + ∠C= 180°
=> 125° + ∠C= 180°
=> ∠C= 55°
Sides opposite to Equal angles is of equal length
If two angles in a triangle do not have equal measure, the longer of their two opposite sides lies opposite to the larger angle.
∠ A=∠ B > ∠C
=> BC = AC > AB
Hence there is no unique longest side
But there are two longer sides BC and AC
and AB is the smallest side
Hence none of these is correct option
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