Question

in triangle KMN, PQ||MN, if KP/PM =4/13 and KN =20.4 CM, find KQ.
Plz solve in Notebook.​

Answer 1

Answer:

KQ = 4.8 cm

Step-by-step explanation:

In Triangle KMN, We have

PQ // MN

Therefore, KP/PM = KQ/QN

KP/PM = KQ/KN-KQ

4/13 = KQ / 20.4 - KQ

4(20.4 - KQ ) = 13 KQ

81.6 - 4KQ = 13 KQ

17 KQ = 81.6

KQ = 81.6/17

⇒ 4.8 cm.

Hence, the value of KQ = 4.8 cm

Answer 2

Answer:

4.8cm

Step-by-step explanation:

Given:

PQ || MN

So, KP /PM = KQ / QN (BY BPT)

$\huge\frac{KP}{PM} =\huge\frac{KQ}{KN-KQ} \\\\\large\frac{4}{13} = \large\frac{KQ}{20.4-KQ}\\\\4 \times20.4 - 4KQ = 13KQ\\\\17KQ =4 \times20.4\\\\KQ =\Large\frac{4 \times20.4}{17} \\\\KQ =4.8cm$

${\large{\boxed {\boxed {\boxed { \ { 4.8 { cm {\ { }}} }} }}}}$

$\bigstar$ $HOPE$  $ITS$  $HELP$  $YOU$ $\bigstar$