Maths-
General
Easy
Question
In the triangle ABC, the angles at A and C are 40° and 95° respectively. If N is the foot of the perpendicular from C to AB , prove that CN = BN.
Hint:
Find the remaining angles and thus find whether sides are equal.
The correct answer is: CN = NB
In ΔABC, We have
(given)
(given)
(sum of interior angles of a triangle is 180)
We know that, 
( CN ⊥ AB)
Hence, 
So, In ΔCNB, the base angles are equal (
) hence sides
opposite to equal base angles are also equal. Hence we get, CN = NB
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