Question

Two sides of a triangle are 5 cm and 4 cm and its semi-perimeter is 6 cm. Find the third side of this triangle.

Answer 1

Answer

ok the answer is 6 cm by Pythagoras theorem

idk what ur talking about cause semi p cant be 6

Answer 2

$\underline{\underline{\textsf{\maltese\:\: Given :}}}$

• 1st side = 5cm

• 2nd side = 4cm

• Semi Perimeter = 6cm

• 3rd side = ?

$\underline{\underline{\textsf{\maltese\:\: Solution :}}}$

$\bf{Semi \; Perimeter = \dfrac{Sum \; of \; all \; sides \; of \; triangle}{2}}$

$\sf \implies 6cm = \dfrac{5cm \; + \; 4cm \; +\; 3rd \; side}{2}$

$\sf \implies 6cm = \dfrac{9cm \; +\; 3rd \; side}{2}$

$\sf \implies 6cm \; * \; 2= 9cm \; +\; 3rd \; side$

$\sf \implies 12cm = 9cm \; +\; 3rd \; side$

$\sf \implies 12cm \; - \; 9cm =3rd \;side$

$\sf \implies 3cm = 3rd \;side$

$\bf \therefore \; \orange{3rd \;side = 3cm}$