Question

in triangle ABC , angle a=53° and angle B=49° The bisector of angle c meets AB at D. Arrange the sides of triangle ABC in ascending order.​

Answer 1

Answer:

Step-by-step explanation:

descending order:

side AB, side BC, side CA

because the big angle opposite to side that side is also big.

and side opposite to small angle is small.

Answer 2

Step-by-step explanation:

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Class 9

>>Maths

>>Triangles

>>Inequalities in a Triangle

>>In Δ ABC A = 50^∘ and B = 60^∘ . By

Question

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In ΔABC∠A=50

∘

and∠B=60

∘

. By arranging the sides of the triangle in ascending order, we get :

Medium

Solution

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Correct option is C)

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