In the figure shown, ABC is a triangle, ...

In the figure shown, ABC is a triangle, right angled at B. Through B, a line is drawn perpendicular to AC which meets AC in D. What is the length of BD?

A

`(4)/sqrt(3)`

B

`(8)/sqrt(3)`

C

`2sqrt(3)`

D

`4sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

ADDITIONAL TOPICS IN MATH
ENGLISH SAT|Exercise Grib-In|32 Videos
ADDITIONAL TOPICS IN MATH
ENGLISH SAT|Exercise PRACTICE TEST|24 Videos
COMPLEX NUMBERS
ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

In the figure shown above, ABC is a triangle right angled at B. What is the value of angle A, in degrees?

In a right-angled triangle ABC, right angled at B, an altitude BD is dropped on AC. If AB=8 and BC=6, what is the length of AD?

The diagonals AC and BD of a cyclic quadrilateral ABCD interest at right angles at E (figure). A line l drawn through E and perpendicular to AB meets CD at F. Prove that F is the mid-point of CD.

In the given figure , ABC is a right triangle, right angled at B. Medians AD and CE are of respective length 5 cm and 2sqrt5 cm . Find the length of AC.

If the area of triangle ABC is 15, what is the length of AC ?

ABC is a triangle, right angled at B. If BCDE is a square on side BC and ACFG is a square on AC, prove that AD = BF.

The given figure shows a right triangle right angled at B . If angle BCA = 2 angle BAC, show that AC = 2BC

In a right triangle ABC, right angled at A, AD is drawn perpendicular to BC. Prove that: AB^(2)-BD^(2)= AC^(2)-CD^(2)

In the following figure, F and E are points on the side AD of the triangle ABD. Through F a line is drawn parallel to AB to meet BD at point C . Prove that : ar (Delta ACE ) = ar (quad . BCEF )

In given figure, ABC is a triangle right angled at B and BD bot AC. If AD=4 cm and CD= 5 cm, then find BD and AB.

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-EXERCISE

The imaginary number I is defined such that i^(2)=-1. Which of the fol...
Text Solution
|
The imaginary number I is such that i^(2)=-1. Which of the following o...
Text Solution
|
A right angled triangle ABC of sides AB=6, BC=8 and AC=10 is spun onc...
Text Solution
|
If a+ib=sqrt(5+12i) where a>0, b>0, which of the following is a possi...
Text Solution
|
Two friends, Amy and Bob, are standing in line with a lamp post. The s...
Text Solution
|
In the figure OA=sqrt(80), OB=8, OC=sqrt(20). What is the length of OD...
Text Solution
|
In a right-angled triangle ABC, right angled at B, an altitude BD is ...
Text Solution
|
If the equation of the circle having the coordinates of the ends of it...
Text Solution
|
If a+ib=(5+3i)(6i+1), what is the value of a^(2)+b^(2) ?
Text Solution
|
A well, 2m radius and 40m deep, is being dug. The excavated soil is t...
Text Solution
|
In the figure shown, ABC is a triangle, right angled at B. Through B, ...
Text Solution
|
From a cuboid of dimension 4mxx6mxx8m, largest possible cube is cut ou...
Text Solution
|
In the DeltaABC,DE||BC, AD=3, BD=6, and BC=8. What is the ratio of the...
Text Solution
|
A vertical tower, OP stands at the center O of a square ABCD. Let h an...
Text Solution
|
What is the shortest distance between the circle x^(2)+y^(2)-2x-2y=0 ...
Text Solution
|
A balloon leaves the earth and rises at a uniform velocity. At the end...
Text Solution
|
In DeltaABC,D and E are the mid-points of AB and AC. Again, F and G ar...
Text Solution
|
In the figure shown, area of triangle ACE is 48. If AC is parallel to...
Text Solution
|
In the figure above, the line TAB is tangent to the given circle. If /...
Text Solution
|
In a parallelogram, the ratio of the two adjacent sides is 1 : 2. If t...
Text Solution
|