Question

Pove that in an obtuse angled triangle the side opposite to the obtuse angle is the greatest side.​

Answer 1

Step-by-step explanation:

Verified Answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but Verified Answers are the finest of the finest.

Given -- ΔABC other than equilateral triangle.

The construction is already given in the picture.So let me just establish the relation between the sides.

Let AB = AD = DB

ABD is an equilateral triangle since AB = AD = DB

∠ABD = ∠ADB = ∠BAD = 60°

Longest side= BC

Angle opposite to longest side = ∠BAC

Here it is clear that ∠BAC = ∠BAD + ∠CAD

So ∠BAC > ∠BAD

∠BAC > 60°

Hence proved!

Hope This Helps You!

Answer 2

Answer:

Step-by-step explanation:

In a triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.