Question

Some parts of congruent triangles PQR and LMN are marked. If the perimeter of triangle PQR is 42 cm, what is the length of LN and why?
(with explanation)
A. 22 cm
B. 20 cm
C. 18 cm
D. 16 cm

Answer 1

Answer:

D) 16 cm

Step-by-step explanation:

we have been given that PQR and LMN are congruent triangles. So, according to CPCT,

PQ= LM

RQ= NM

PR= LN------>(1)

Now finding x

$x + 2x + 18 = 42$

$3x + 18 = 42$

$3x = 42 - 18$

$3x = 24$

$x = 24 \div 3$

$x = 8$

PR= LN= 2x (From 1)

LN= 2x

LN= 16cm

Hope it helps you!!

:)

Answer 2

Step-by-step explanation:

16 cm

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