2010 · Q1
Two sides of an acute-angled triangle are 6 cm and 2 cm respectively. Which one of the following represents the correct range of the third side in cm?
Elementary MathematicsGeometry
- A(4,8)
- B(4, 2√10 )
- C(4 √2,8)
- D(4√2 , 2√10 )
Explanation
For an acute triangle with sides 6, 2, x: x>4, x<8 (triangle inequality); acute gives x²>36-4=32 i.e. x>4√2, and x²<36+4=40 i.e. x<2√10.