Question

thal AB = CD
9. In AABC, A = 60", B = 40". Which side of this triangle is the smallest ? Give reason
your answer​

Answer 1

Answer:

By angle sum property of a triangle,we know that sum of all the angles is 180*.

So,

angle A+ angle B+ angle C = 180*

=60*+40*+angle C = 180*

=100*+angle C =180*

angle C =80*

Thus, angle B is the smallest.

Since, the side opposite to smaller angle is smaller, angle B is the smallest side.

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Answer 2

Answer:

Explanation:

Here, ∠B=40∘and∠A=60∘.

∴ ∠C=180∘−(40∘+60∘)=80∘.

Thus, ∠C is largest and ∠B is smallest.

So, the side opposite to ∠C is longest.

Hence, the longest side is a A.

Also, the side opposite to ∠B is shortest.

∴ BC is the shortest side.

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