In A ABC, D and E are points AC and BC respectively such that DE
DE || AB. If AD = 2x, BE = 2x – 1, CD = x + 1 and CE = x - 1, then find the value of x.
No spam
Answers
Answered by
18
Answer:
ANSWER
The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.
It is given that AD=8 cm, AB=12 cm and AE=12 cm.
Using the basic proportionality theorem, we have
AB
AD
=
AC
AE
=
BC
DE
⇒
AB
AD
=
AC
AE
⇒
12
8
=
AC
12
⇒8AC=12×12
⇒8AC=144
⇒AC=
8
144
=18
Now, CE=AC−AE=18−12=6 cm
Hence, CE=6 cm
Answered by
8
Answer:
6
Step-by-step explanation:
helpful
plz brainliest
Similar questions