Home
Class 11
MATHS
If in a triangle ABC, BC = 5, AC = 4, AB...

If in a triangle ABC, BC = 5, AC = 4, AB = 3. D, E are the points on BC such that BD = DE = EC, `angle CAE = theta ` . Then

A

`AE^(2) = 73/3`

B

`AE^(2) = 73/9`

C

`tan theta = 3//8`

D

`AD = (2sqrt13)/3`

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Matrix Matching Type Questions)|5 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Linked comprehension Type Questions)|18 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Straight Objective Type Questions)|30 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

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

In triangle ABC , angle C = angle 90 , D is the mid point of BC, Prove that AB^2 = 4AD^2 -3AC^2 .

In a triangle ABC , DE||BC and AD = 1/3 BD . If BC = 5.6cm, find DE.

In triangle ABC. Dis on AC such that AD = BC, BD = DC, angleDBC = 2theta angleBAD=3 theta then theta=

In triangle ABC , angle C = angle 90 D is the mid point of BC, prove that AB^2 = 4AD^2-3AC^2 .

In a triangle ABC, D and E are the mid-points of BC, CA respectively. If AD=5, BC=BE=4 then CA=