Question

in a triangle pqr mn//pr . qm=4x-3,pm=3x-1,qn=8x-7,rn=5x-1 find x

Answer 1

Answer:

ANSWER

DE∥BC

Thus,

DB

AD

=

EC

AC

⇒

3x−6

4x−3

=

5x−3

8x−7

⇒20x

2

−27x+9=24x

2

−29x+7

⇒4x

2

−2x−2=0

⇒2x

2

−x−1=0

⇒(2x+1)(x−1)=0

Thus, x=1