If the base of an isosceles triangle is ...

If the base of an isosceles triangle is of length 2P and the length of the altitude dropped to the base is q, then the distance from the mid point of the base to the side of the triangle is

A

`(pq)/(sqrt(p^2+q^2))`

B

`(2pq)/(sqrt(p^2+q^2))`

C

`(3pq)/(sqrt(p^2+q^2))`

D

`(4pq)/(sqrt(p^2+q^2))`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(More than correct answer Type Question)|8 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(Linked comprehension Type Question)|3 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio) ( Straight Objective Type Question)|1 Videos
REVISION EXERCISE
AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
TANGENT AND NORMAL
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , the length of the altitude from A to BC is

In an isosxeles triangle of side 4sqrt2 cms, the length of the base for which the area is maximum is

If the area of an isosceles triangle is sqrt2+1 are vertical angle is 45^@ then the base of the triangle is

If the area os an isosceles triangle is sqrt2 + 1 and vertical angle is 45^(@) then the base of the triangle is

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the veterx lies on

If the ends of the base of an isosceles triangle are at (2,0) and (0,1) , and the equaiton of one side is x=2 then the orthocenter of the triangle is

Classify the following triangles based on the length of their sides.

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)( Straight Objective Type Question)

The algebraic sum of the perpendicular distances from A, B, C to a var...
Text Solution
|
The equation to the base of an equilateral triangle is (sqrt3+1)x+(sqr...
Text Solution
|
If the base of an isosceles triangle is of length 2P and the length of...
Text Solution
|
Line L has intercepts a and b on the coordinate axes. When the axes ar...
Text Solution
|
An equilateral triangle is constructed between two parallel line sqrt3...
Text Solution
|
The line L given by x/5+y/b=1 passes through the point (13,32). The li...
Text Solution
|
PQR is an equitateral triangle such that the vertices Q and R lie on t...
Text Solution
|
P is a point on the line y=2x+1, and Q and R are tow points on the lin...
Text Solution
|
If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of ...
Text Solution
|
The line x+2y=4 is transtated by 3units closer to the origin and then ...
Text Solution
|
If the line 2x+y=k passes through the point which divides the line seg...
Text Solution
|
A straight line through the origin O meets the parallel lines 4x+2y=9 ...
Text Solution
|
The foot of the perpendicular on theline 3x+y=lambda drawn from the or...
Text Solution
|
The range of alpha " for which the points " (alpha,alpha+2) and ((3a...
Text Solution
|
P(m,n)(m,nin N) is any point in the inerior of the the quadrilateral f...
Text Solution
|
If (sintheta,costheta,0 in[0,2theta] and (1,4) " lie on the same side ...
Text Solution
|
The set of values of 'b' for which the origin and the point (1,1) lie ...
Text Solution
|
If the point (a,a) falls between the lines abs(x+y)=2, then :
Text Solution
|
If A(3,4) and B is a variable point on the lines |x|=6.If ABle4 then n...
Text Solution
|
The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...
Text Solution
|