Home
Class 12
MATHS
Let ABC be a right triangle with length ...

Let ABC be a right triangle with length of side `AB=3` and hyotenus `AC=5.` If D is a point on BC such that `(BD)/(DC)=(AB)/(AC),` then AD is equal to

A

` (4sqrt3)/(3)`

B

`(3sqrt5)/(2)`

C

`(4 sqrt5)/(3)`

D

`(5 sqrt3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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 .

ABC is a triangle . D is a point of AB such that AD=(1)/(4)AB and E is a point on AC such that AE=(1)/(4)AC. If DE =2cm find BC.

In equilateral DeltaABC, D is a point on BC such that BD= (1)/(3)BC . Prove that 9AD^(2)= 7AB^(2) .

ABC is a triangle with AB= AC and D is a point on AC such that BC^(2)= AC xx CD . Prove that BD= BC.

ABC is a right angled triangle in which angle A = 90^(@) and AB = AC. Find angle B and angle C.

In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt AD.

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

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure) Show that AD = AE

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) .