Prove in any triangle ABC that (i) a^(...

Prove in any `triangle` ABC that
(i) `a^(2)+b^(2)+c^(2)=2(bc cos A +ca cos B+ ab cos C)`
(ii)`(b+c) cos A+(c+a)cos B+(a+b) cos C` = `a+b+c`.

AI Generated Solution

TRIGONOMETRY
MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS)|25 Videos
TRIGONOMETRY
MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos
TRIGONOMETRY
MODERN PUBLICATION|Exercise Exercise 3(n)Long Answer type Question-I|10 Videos
STRAIGHT LINES
MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC prove that a^(2)+b^(2)+c^(2)=2(bc cos A+ca cos B+ab cos C)

In Delta ABC, prove that a^(2)+b^(2)+c^(2)=2(bc cos A+ca cos B+ab cos C)

In any Delta ABC, prove that :a^(2)+b^(2)+c^(2)=2(bc cos A+ca cos B+ab cos C)

Prove that in any triangle ABC(i) c^(2)=a^(2)+b^(2)-2ab cos C( ii) c=b cos A+a cos B

2(bc cos A+ca cos B+ab cos C)=a^(2)+b^(2)+c^(2)

In any ABC,2(bc cos A+ca cos B+ab cos C)=

In triangle ABC , prove that (1) a=b cos C+c cos B (2) b=a cos C+c cos A .

In triangle ABC , prove that 2(bc cos A +ac cos B +ab cos C)=a^2+b&2+c^2 .

Prove in any triangle ABC that (i) a(cos B+cos C)=2(b+c) "sin"^(2)(A)/(2) (ii) a(cos C- cosB)= 2(b-c )"cos"^(2)(A)/(2)

For any triangle ABC,prove that a(b cos C-c cos B)=b^(2)-c^(2)