Home
Class 12
MATHS
Prove by vector method, that in a right-...

Prove by vector method, that in a right-angled triangle ABC, `AB^(2) + AC^(2) + BC^(2)`, the angle A being right angled. Also prove that mid-point of the hypotenuse is equidistant from vertex.

Text Solution

Verified by Experts

The correct Answer is:
T
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (MULTIPLE CHOICE QUESTIONS) |104 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (MULTIPLE CHOICE QUESTIONS) |165 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

' Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

Prove that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

In a right -angled triangle ABC, AB = AC . Then , a:b:c is ______.

ABC is an isosceles triangle with AC=BC . If AB^(2)=2AC^(2), prove that ABC is right triangle.

ABC is an isosceles triangle with AC=BC .If AB^(2)=2AC^(2) prove that ABC is a right triangle.

ABC is an isosceles triangle with AC = BC. If AB^2 - 2AC^2 =0, prove that ABC is right triangle.

triangleABC is an isosceles triangle with AC = BC. If AB^(2)= 2AC^(2) . Prove that triangle ABC is a right triangle.

In a right -angled triangle ABC, right-angled at B, if AB=2sqrt6 and AC-BC=2 , then find sec A+ tan A .

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Home
Profile