The Incenter of a tringle is located at (3,4). The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle ‘s incircle?
The Incenter of a tringle is located at (3,4). The length of the altitude from the Incenter to side AB is 2 units. What is the radius of the triangle ‘s incircle?
एक त्रिभुज का अंतःकेंद्र (3,4) पर स्थित है। अंतःकेंद्र से भुजा AB तक ऊँचाई की लंबाई 2 इकाई है। त्रिभुज के अंतःवृत्त की त्रिज्या क्या है?
Detailed Solution & Logic
Correct Answer:
2 इकाइयां/ 2 units
The incenter of a triangle is the point where the internal angle bisectors intersect. A key property of the incenter is:
The distance from the incenter to any side of the triangle is equal to the radius of the incircle.
Given:
Incenter is at (3,4), (its coordinates are not required for calculation here).
Radius of incircle = distance from incenter to any side = 2 units.
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