Home
Class 10
MATHS
In the given figure, D is a point on hyp...

In the given figure, D is a point on hypotenuse AC of `triangleABC`, such that `BD bot AC, DM bot BC" and "DN bot AB`. Prove that :
`DM^(2)= DN*MC`

Text Solution

Verified by Experts

The correct Answer is:
`DM^(2)= DN*MC`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|29 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|20 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.5|23 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

In the given figure, D is a point on hypotenuse AC of triangleABC , such that BD bot AC, DM bot BC" and "DN bot AB . Prove that : DN^(2)= DM*AN

In the given figure, O is a point in the interior of a DeltaABC, OD bot BC, OE bot AC" and "OF bot AB . Show that : AF^(2)+BD^(2)+CE^(2)=AE^(2)+CD^(2)+BF^(2) .

In the given figure, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD bot BC" and "EF bot AC , prove that DeltaABD ~ DeltaECF

In the given figure, O is a point in the interior of a DeltaABC, OD bot BC, OE bot AC" and "OF bot AB . Show that : OA^(2)+OB^(2)+OC^(2)-OD^(2)-OE^(2)-OF^(2)= AF^(2)+BD^(2)+CE^(2) .

D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.

In the given figure, D is a point on side BC of DeltaABC such that (BD)/(CD)=(AB)/(AC) . Prove that AD is the bisector of /_BAC .

In the given figure, if AC = BD, then prove that AB = CD.

In the given figure, AC = AE, AB = AD and angle BAD = angle EAC . Show that BC = DE.

In the given figure, ABD is a Deltaright angled at A and AC bot BD . Show that AB^(2)= BC*BD

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.