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If the median drawn on the base of a triangle is half its base, the triangle will be:
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- right-angled
- acute-angled
- obtuse-angled
- equilateral
- right-angled
Correct Option: A
On the basis of question we draw a figure of triangle ABC ,
In ∆ ABC,
Let BC = x Since AD is the median,
∴ BD = DC = x/2
| Also, AD = | BC = | x or | |||
| 2 | 2 | 2 |
In ∆ ABD, AD = BD ⇒ ∠BAD = ∠ABD
Similarly
in ∆ ADC,
∠DAC = ∠ACD,
∠A = a + b.
Thus, a + b + a + b = 180°
⇒ a + b = 90°
⇒ ∠A = 90°
