Question

75° b Arrange the three side lengths in increasing order. 350 c [?]​

Answer 1

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

Answer 2

a < b < c

Explanation:

The side opposite the larger angle measure is the longer side.

The side opposite the smallest angle measure is the shortest side.

The sum of the three angles = 180° ; (75° + 35° + ? = 180°). The missing angle is 70°

The angles in order from the smallest to the largest:

35° < 70° < 75°

The side for the shortest to the largest

side opposite 35° is a

side opposite 70° is b

side opposite 75° is c

Answer a < b < c