Question

Raj is having a triangular open space in his plot he divided the land into two part by drawing the the boundary PQ where PQ//BC. p is the midpoint of a side abe other measure are given as height of triangle is is 12 CM , ap is =7cm, BC=10 cm , AC=11 cm
Q-1 what is length of side PQ
Q-2 what is the length of a AQ
Q-3 what is the length of PB
Q4 where is the area of triangle ABC​

Answer 1

Step-by-step explanation:

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Hence

QC

AQ

=

PB

AP

3

2

=

PB

2.4

PB=3.6cm

AB=AP+PB=2.4+3.6=6cm

As PQ∥BC

∠AQP=∠ACB

∠APQ=∠ABC

So by AAA △AQP∼△ACB

Hence

AC

AQ

=

CB

QP

5

2

=

6

QP

QP=2.4cm

So AB=6cm and QP=2.4cm

Answer 2

Step-by-step explanation:

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