- ABC
- BAC
- CAB
- DAll sides equal
Step-by-Step Solution
The longest side is opposite the largest angle. Angle A (80°) is largest, and the side opposite A is BC.
Answer: A) BC
In triangle ABC, angle A = 80°, angle B = 60°, angle C = 40°. Which side is the longest?
Class 7The Triangle and its PropertiesTriangles
Key idea: Exterior angle property
Extend one side of a triangle past a vertex. The angle formed outside the triangle is the **exterior angle** at that vertex.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
**Exterior angle = sum of the two opposite interior angles.**
So if the two non-adjacent interior angles are 50° and 60°, the exterior angle = 50° + 60° = 110°.
Why? The exterior angle and the adjacent interior angle form a linear pair (sum 180°), and the three interior angles also sum to 180°. Subtract: exterior = sum of the other two interior angles.
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