2021 · Q86
Consider the following for the next three (03) items that follow : ABC is a triangle with AB = 1.6 cm, BC = 6.3 cm and CA = 6.5 cm. Let P and Q be the mid-points of AB and BC respectively. What is AB² + 4BQ² equal to ?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A41.25 cm²
- B42.25 cm²
- C43.75 cm²
- D44.25 cm²
Explanation
Since 1.6² + 6.3² = 2.56 + 39.69 = 42.25 = 6.5², the triangle is right-angled at B. Q is the midpoint of BC, so BQ = 3.15. Then AB² + 4BQ² = 2.56 + 4(3.15)² = 2.56 + 39.69 = 42.25 cm². This is option (b).