In triangle ABC angle A=70degree and angle B=30 degree which side of the triangle is longest
Answers
angle C =80° is the largest angle.
AB is the longest side ( side opposite to the greatest angle is always the longest side).
Hope it help you.
Answer:
In the triangle ABC, the longest side is AB side.
Step-by-step explanation:
We have given in the ΔABC (as shown the attached figure below)
The value of angle, ∠A = 70°
The value of angle, ∠B = 30°
First, we have to find the value of angle ∠C,
We know that, from geometry the sum of the angles in a triangle is 180°.
Therefore, ∠A + ∠B + ∠C = 180°
70° + 30° + ∠C = 180°
∠C = 180° - 100°
∠C = 80°
In a triangle, the longest side in a triangle is always opposite the largest angle. similarly, the shortest side of the triangle is opposite the smallest angle.
Here, the largest angle is ∠C .
The side opposite to the angle ∠C is AB. (as shown in the figure)
Therefore, the longest side of the ΔABC will be side AB.
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