Home
Class 12
MATHS
(i) If the cosines of two of the angles ...

(i) If the cosines of two of the angles of a triangle, which is not isosceles, are iversely proportional to the corresponding opposite sides, show that the triangle is right angled.
(ii) In a triangle ABC, If A=2B then show that, `a^(2)- b^(2)=bc`.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple choice questions)|13 Videos
  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|20 Videos
  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If 8R^2=a^2+b^2+c^2 then show that the triangle is right angled

write the ratio of the angles of a right angled isosceles triangle.

In /_\ABC .if cos A=(sinB)/(sinC) ,then show that the triangle is right angles triangle.

If a=2b and A=3B, find the angles of the triangle ABC.

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot (C/2)

In any triangle ABC if cosA=sinB-cosC then show that any angle of the triangle is a right angle.

If 2 cos A = (sin B)/(sin C) then show that the triangle is isosceles.

If in a triangle ABC, a=3, b=5 and c=7, show that the triangle is obtuse angled.

If in a triangle ABC, cos^(2)A + cos^(2)B + cos^(2)C =1 , then show that the triangle is right angled.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.