2021 · Q82
Consider the following for the next three (03) items that follow : ABC is a triangle with sides AB = 6 cm, BC = 10 cm and CA = 8 cm. With vertices A, B and C as centres, three circles are drawn each touching the other two externally. What is the length of the altitude of the triangle drawn from vertex A on BC ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A2.4 cm
- B3 cm
- C4 cm
- D4.8 cm
Explanation
Since 6² + 8² = 10², the triangle is right-angled at A. The altitude from A to the hypotenuse BC is (product of legs)/hypotenuse = 6 × 8/10 = 4.8 cm. This is option (d).