Question

A triangle has a perimeter of 53 cm. The shortest side of the triangle is 2
more than one-third of the longest side and the other side is 5 cm less
than the longest side. Find the dimensions.
69​

Answer 1

Answer:

Step-by-step explanation:

Let the length of shortest side be x cm.

According to the given information,

Longest side = 2× Shortest side

=2x cm

and third side = 2+ Shortest side

=(2+x) cm

Perimeter of triangle =x+2x+(x+2)=4x+2

According to the question,

Perimeter >166 cm

⇒4x+2>166

⇒4x>166−2

⇒4x>164

∴x>1644=41 cm

Hence, the minimum length of shortest side be 41 cm.