The vertices of a ` A B C` are `A(5,5),B(1,5)a n dC(9,1)` . A line is drawn to intersect side AB and AC at P and Q respectively, such that `(A P)/(A B)=(A Q)/(A C)=3/4dot` Find the length of the line segment PQ.

The vertices of AABC are A(4, 6), B(1, 5), and C7, 2). A line is drawn to intersect sides AB and AC at D and E respectively. Show that (AD)/(AB) = (AE)/(AC) = (1)/(4) . Find the area of Delta ADE and compare it with Delta ABC.

In triangleABC , a straight line parallel to BC intersects AB and AC at P and Q respectively. If AB = 3PB, then PQ : BC =

In Fig. 5.55, l ||m and a line t intersects these lines at P and Q, respectively. Find the sum 2a + b.

A line drawn parallel to the base BC of ∆ABC intersects AB and AC at P and Q respectively. If AB = 12 , AP = 4 , QC = 5 then determine AQ.

A line drawn parallel to the base BC of ∆ABC intersects AB and AC at P and Q respectively. If AB = 20 , AC = 15 and AQ = 9 then determine BP.

In /_ABC,a=5,B=45^(@ , C=60^(@ AD is altitude,A circle is drawn with AD as diameter which cuts the side AB and AC at P and Q respectively then PQ=

Let A (2,3,5), B(-1,5,-1) and C(4,-3,2) be the vertices of a DeltaABC Find the sides AB,BC and AC

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot

The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the internal angle bisector of /_B meets the side A C in D , then find the length A Ddot