Question

In a $\Delta ABC$, if $AB+BC=10cm,BC+CA=12cm,CA+AB=16cm$, then the perimeter of the $\Delta$ is

• A. $19cm$
• B. $17cm$
• C. $38cm$
• D. None of the above

Answer 1

The correct option is A $19cm$

$AB+AC=16cm$ ....(1)

$AB+BC=10cm$ ...(2)

$AC+BC=12cm$ ...(3)

Adding eq(1), (2), and (3), we get

$2(AB+AC+BC)=38cm$

$AB+AC+BC=19cm$

$\therefore$ Perimeter of triangle is $19cm$.