Question

In the given figure, what is the value of the shortest side if the perimeter of the triangle is 27 cm?

• A. $7$ cm
• B. $8$ cm
• C. $9$ cm
• D. $11$ cm

Answer 1

The correct option is A $7$ cm

The perimeter of the triangle is given as $27$ cm.
$x+(x+2)+(x+4)=27$
⇒ $3x+6=27$
⇒ $3x+6-6=27-6$
⇒ $3x=21$
⇒ $x=\frac{21}{3}=7$

Here, the shortest side is $x$ cm, which is $7$ cm.