2019 · Q80
The perimeter of a right-angled triangle is k times the shortest side. If the ratio of the other side to hypotenuse is 4:5, then what is the value of k?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A2
- B3
- C4
- D5
Explanation
Other side : hypotenuse = 4 : 5 forces the 3–4–5 shape: sides 3t, 4t, 5t. Perimeter = 12t = k×(shortest side 3t), so k = 4.