2019 · Q83
The hypotenuse of a right-angled triangle is 10 cm and its area is 24 cm². If the shorter side is halved and the longer side is doubled, the new hypotenuse becomes
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A√245 cm
- B√255 cm
- C√265 cm
- D√275 cm
Explanation
a^2+b^2 = 100 and ab/2 = 24 give (a+b)^2 = 196, so {a,b} = {6,8}. Halving 6 and doubling 8: new hypotenuse = √(3^2+16^2) = √265 cm.