$∆ P Q R ≅ ∆ L M N$ the perimeter of $∆ L M N$ is $220 c m$ . If the sum of two sides of $∆ P Q R$ is $130 c m$ , what is the length of the third side of $∆ L M N$ ?

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Solution

Given:
Perimeter of $∆ L M N$ $= 220 c m$
Sum of two sides of $∆ P Q R$ $= 130 c m$
and $∆ P Q R ≅ ∆ L M N$
So, Sum of two sides of $∆ P Q R$ $=$ Sum of two sides of $∆ L M N$
The length of the third side of $∆ L M N$ $=$ Perimeter of $∆ L M N$ $-$ Sum of two sides of $∆ L M N$
$= 220 - 130$
$= 90 c m$
Hence the length of the third side of $∆ L M N$ is $90 c m .$

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∆PQR≅∆LMN the perimeter of ∆LMN is220cm. If the sum of two sides of ∆PQR is130cm, what is the length of the third side of∆LMN?

Given:Perimeter of ∆LMN =220cmSum of two sides of ∆PQR =130cmand ∆PQR≅∆LMNSo, Sum of two sides of ∆PQR=Sum of two sides of ∆LMN The length of the third side of ∆LMN=Perimeter of ∆LMN-Sum of two sides of ∆LMN =220-130 =90cmHence the length of the third side of ∆LMN is 90cm.

$∆ P Q R ≅ ∆ L M N$ the perimeter of $∆ L M N$ is $220 c m$ . If the sum of two sides of $∆ P Q R$ is $130 c m$ , what is the length of the third side of $∆ L M N$ ?