Question

In triangle ABC if A=55° and B=63° find the shortest and longest side of the triangle

Answer 1

Given,

a triangle ABC with Angle A = 55° and B = 63°

To find,

the shortest and longest side of this triangle.

Main solution:-
A
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B.--------- C

This is a triangle ABC

Let's find out angle C

Angle A + B + C = 180°. ( Angle sum property of a triangle )

55 + 63 + x = 180

x = 180 - 55 - 63

x = 180 - 118

x = angle A = 62°

Now, we can see :

The largest angle = angle B

The smallest angle = angle A

We know the larger angle has larger side opposite to it and a smaller angle has a small side opposite to it.

Therefore,

Longest side = side opposite to angle B = AC

Shortest side = side opposite to angle A = BC