NTA Abhyas JEE Main2020MathematicsProperties of TrianglesPractice
Two medians drawn from acute angles vertices of a right angled triangle intersects at an angle π 6 . If the length of the hypotenuse of the triangle is 3 units, then area of the triangle (in sq. units) is
Options
- A3
- B3
- C2
- D9
Correct answer
A. 3
Step-by-step solution
Slope of A G = − b 2 a , tan 30 o = 3 b 2 a 1 + b 2 a 2 a 2 + b 2 = 9 ⇒ 1 3 = 3 b . a 2 a 2 + b 2 ⇒ 1 2 a b = a 2 + b 2 3 3 = 9 3 3 = 3