Question

if the perimeter of a triangle is $6\frac{2}{3}$ cm and the length of two sides are 2 1/2 cm and 3 1/3 cm find the length of the third side

Answer 1

Answer:

Consider the third side as 'x' cm

$2\frac{1}{2} + 3\frac{1}{3} + x = 6\frac{2}{3}$

$\frac{5}{2} + \frac{10}{3} + x = \frac{20}{3}$

$15 + 20 + 6x = 40$

6x = 5

$x = \frac{5}{6}$

Therefore the third side of the triangle would be $\frac{5}{6}$