Home
Class 10
MATHS
(Result on acute triangle) In Fig. 4....

(Result on acute triangle) In Fig. 4.184, `/_B` of ` A B C` is an acute angle and `A D_|_B C` , prove that `A C^2=A B^2+B C^2-2\ B CxxB D`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR ( EXERCISE - 6.1 ) |12 Videos
  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR ( EXERCISE - 6.2 ) |12 Videos
  • TRIANGLES

    OSWAL PUBLICATION|Exercise NCERT CORNER ( TEXTBOOK QUESTIONS) ( EXERCISE - 6.5 ) |23 Videos
  • SURFACE AREAS AND VOLUMES

    OSWAL PUBLICATION|Exercise BOARD CORNER (LONG ANSWER TYPE QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

(Result on acute triangle) In Fig.4.184,/_B of ABC is an acute angle and AD perp BC, prove that AC^(2)=AB^(2)+BC^(2)-2BC xx BD

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C^2 .

In Figure, ABD is a triangle right-angled at A and A C_|_B D . Show that (i) A B^2=B C.B D (ii) A C^2=B C.D C (iii) A D^2=B D.C D

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

In Fig. 5.10, if A C=B D , then prove that A B=C D .

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a)C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2

In figure, AD is a median of a triangle ABC and A M_|_B C . Prove that: (i) A C^2=A D^2+B C.D M+ ((B C)/2)^2 (ii) A B^2=A D^2-B CdotD M+ ((B C)/2)^2 (iii) A C^2+A B^2=2A D^2+ 1/2B C^2