Q. 3

# In the given figure points L, M and N respectively lie on OA, OB and OC such that LM || AB and MN || BC. Then, show that LN || AC.

Answer :

In OAB & OLM

LM||AB

…(1) |By Basic Proportionality Theorem(BPT)

In ΔOMN & ΔOBC,

MN||BC

…(2) |By BPT

From (1)&(2)

…(3)

In ΔOLN & ΔOAC

⇒ LN||AC by Converse of BPT

Hence, proved.

Rate this question :

What do you mean by equiangular triangles? What mutual relation can these hold?

Rajasthan Board MathematicsTwo points D and E lie on sides AB and AC respectively of ΔABC. Give the information that DE|| BC is not true through the values given in the following questions:

AD = 5.7 cm, BD = 9.5 cm, AE = 3.3 cm and EC = 5.5 cm.

Rajasthan Board MathematicsIf in ΔABC DE || BC and AD = 6 cm, DB = 9 cm and AE = 8 cm, then find AC.

Rajasthan Board MathematicsIn two triangles ABC and PQR Name two angles of two triangles which must be equal so that these triangles may be similar. Give reason also for your answer.

Rajasthan Board MathematicsOn side AB of ΔABC two points D and E lie such that AD = BE. If DP || BC and EQ || AC then prove that PQ || AB.

Rajasthan Board MathematicsPoint D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If and AE = 6.3 cm then find the value of AC.

Rajasthan Board MathematicsPoint D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If AD = 4x – 3, AE = 8x – 7, BD = 3x – 1 and CE = 5x – 3, then find the value of x.

Rajasthan Board MathematicsPoint D and E lie on the sides AB and AC respectively of ΔABC such that DE|| BC. Then,

If and AC = 20.4 cm then find the value of EC.

Rajasthan Board Mathematics