Question

The perimeter of two similar triangles ABC and LMN are 60 cm and 48 cm respectively. If LM= 8cm then what is the length of AB

Answer 1

Hello friends!!

Here is your answer :

Given,
Perimeter of triangle ABC = 60 cm

Perimeter of triangle LMN = 48 cm

LM = 8 cm

We know that,
$\\ \frac{Perimeter \: of \: triangle ABC }{Perimeter \: of \: triangle LMN } = \: \frac{AB}{LM}$

$\\ \frac{60 }{48 } = \: \frac{AB}{8}$

$\\ AB = \frac{60 \times 8}{48}$

$\\ AB = \frac{60}{6}$

AB = 10 cm

Hope it helps ☺️ ☺️

Answer 2

Answer: AB=10 cm.

Step-by-step explanation:

Here is your answer :

Given,

Perimeter of triangle ABC = 60 cm

Perimeter of triangle LMN = 48 cm

LM = 8 cm

We know that,

Ratio of perimeter of similar triangles= ratio of their corresponding sides.

Perimeter of triangle ABC/Perimeter of triangle LMN= AB/LM

Or, 60/48= AB/8

Or, AB=60×8/48 =10cm

AB = 10 cm

So, the CORRECT ANSWER IS 10CM.

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