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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