Question

In a ΔABC, if ∟A = 500 and ∟B = 600 , determine the shortest and the longest sides of  the triangle​

Answer 1

Answer:

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Step-by-step explanation:

Answer

Using angle sum property in △ABC

∠A+∠B+∠C=180

∘

⇒50

∘

+60

∘

+∠C=180

∘

⇒∠C=70

∘

In any triangle side opposite to the largest angle is the longest side.

Here ∠C is largest and side opposite to it is AB

∴AB is the longest side.

Then comes ∠B and side opposite to it is AC

∴AC is the second longest side.

Then comes ∠A and side opposite to it is AC

∴BC is the shortest side.

So the increasing order of sides is

BC<AC<AB