Question

if the perimeter of a triangle is 6 1/3 cm and the lenght of two of its side are 2 1/2 cm and 3 1/3 cm, find the length of third side

Answer 1

Heya...
Here is your answer -----


=> Perimeter of the triangle = 6 1/3 = 19/3 cm

=> One side = 2 1/2 = 5/2 cm

=> Second side = 3 1/3 = 10/3 cm

=> Perimeter = 1st side + 2nd side + 3rd side

=> Third side = Perimeter - (1st side + 2nd side)

=> Third side = 19/3 - (5/2 + 10/3)

=> Third side = 19/3 - [(15 + 20)/6]

=> Third side = 19/3 - 35/6

=> Third side = (38 - 35)/6

=> Third side = 3/6 = 1/2 cm


The length of the third side 1/2 cm.

HOPE IT HELPS....!!!!

Answer 2

Hi Friend !!!!

The answer of your query is here. ..

Given :-

$First \: side = 2\frac{1}{2} \: cm$
$Second Side = 3 \frac{1}{3} \: cm$
$Perimeter = 6 \frac{1}{3} \: cm$
We know that perimeter of triangle
= side1 + side2 + side3.

Let the third side be l.

So,


$6 \frac{1}{3} = 2 \frac{1}{2} + 3 \frac{1}{3} + l \\ \frac{19}{3} = \frac{5}{2} + \frac{10}{3} + l \\ \frac{19}{3} = ( \frac{15 + 20}{6} ) + l \\ \frac{19}{3} = \frac{35}{6} + l \\ l = \frac{19}{3} - \frac{35}{6} \\ l = \frac{38 - 35}{6}$
$l = \frac{3}{6} = \frac{1}{2}$
Hence, the length of third side is 1/2 cm.

Hope you got the answer.....