English

If the median drawn on the base of a triangle is half its base, the triangle will be: -

Advertisements
Advertisements

Question

If the median drawn on the base of a triangle is half its base, the triangle will be:

Options

  • right-angled

  • acute-angled

  • obtuse-angled

  • equilateral

MCQ

Solution

right-angled

Explanation:


I ∼ ΔABC, Let BC = x

Since AD is the median,

∴ BD = DC = `x/2`

Also AD = `1/2` BC = `1/2 x` or `x/2`

In ΔABD, AD = BD

Similarly in ΔADC, ∠DAC = ∠ACD,

∠A = a + b

Thus, a + b + a + b = 180°

⇒ a + b = 90°

⇒ ∠A = 90°

shaalaa.com
Geometry (Entrance Exam)
  Is there an error in this question or solution?
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×