2020 · Q80
The lengths of the sides of a right-angled triangle are consecutive even integers (in cm). What is the product of these integers?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A60
- B120
- C360
- D480
Explanation
(2n-2)^2+(2n)^2 = (2n+2)^2 gives n = 4; sides 6, 8, 10 with product 480. Hence option (D). The triple 6-8-10 is the doubled 3-4-5 triangle, confirming the right angle.