Home
Class 10
MATHS
ABD is a triangle right angled at A and ...

ABD is a triangle right angled at A and AC `bot` BD Show that
(i) `AB^(2)` = BC .BD.
(ii) `AC^(2)` = BC.DC
(iii) `AD^(2)` = BD .CD.

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|6 Videos
  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise TRY THIS|6 Videos
  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise EXERCISE - 8.3|6 Videos
  • SETS

    NCERT BANGLISH|Exercise Try This|11 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise THINK AND DISCUSS|8 Videos

Similar Questions

Explore conceptually related problems

triangleABC is a right triangle right angled at A and AD bot BC . Then BD/DC is equal___

In triangleABC , angleB is an acute angle and AD botBC . Prove that AC^2= AB^2+BC^2-2BC.BD.

ABC is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Prove that AE^(2) + CD^(2) = AC^(2) + DE^(2) .

In Delta ACB, angle C = 90^(@) and CD bot AB Prove that (BC^(2))/(AC^(2)) = (BD)/(AD) .

In Delta ABC, AD_|_ BC . Prove that AB^(2) - BD^(2) =AC^(2) -CD^(2)

ABCD is a rhombus.Prove that AB^(2) + BC^(2) +CD^(2) + DA^(2) = AC^(2) + BD^(2)

‘O’ is any point in the interior of a triangle ABC. If OD bot BC, OE bot AC and OF bot AB, show that (i) OA^(2) + OB^(2) + OC^(2) - OD^(2) - OE^(2) - OF^(2) = AF^(2) + BD^(2) + CE^(2) (ii) AF^(2) + BD^(2) + CE^(2) = AE^(2) + CD^(2) + BE^(2) .

ABCD is a quadrilateral in which AD = BC and /_ DAB = /_ CBA Prove that (i) DeltaABD ~= DeltaBAC (ii) BD = AC (iii) /_ ABD = /_ BAC

Delta ABC is an equilateral triangle . D is a point on the side BC such that BD = (1)/(3) BC . Prove that 7 AB^(2) = 9AD^(2)

If in DeltaABC, AD_|_ BC, then prove that AB^(2) + CD^(2) = AC^(2) + BD^(2)