The area of triangle with given tow sides 18 cm and 10 cm respectively and perimeter equal to 42 cm

The area of triangle with given tow sides 18 cm and 10 cm respectively

1.	The area of triangle with given tow sides 18 cm and 10 cm respectively and perimeter equal to 42 cm
Answer» Let the third side of triangle Be X cm. There for,Sum of all sides = perimeter18+10+X= 42X= 42-28X= 14cm (third side of triangle)No for finding area of triangle we will use heron s formulaFirst find the semi perimeter (s)S =(sum of all sides/2)S = (42/2)S = 21★\xa0Formula\xa0=\xa0√s(s–a)\xa0(s–b)\xa0(s–c)\xa0★➛\xa0√21\xa0(21\xa0–\xa018)\xa0(21\xa0–\xa010)\xa0(21\xa0–\xa014)➛\xa0√21\xa0(3)\xa0(11)\xa0(7)➛\xa0√3\xa0\xa07\xa0\xa03\xa0\xa011\xa0\xa07➛\xa03\xa0\xa07\xa0√11➛\xa021√11\xa0cm²Hence, the area of triangle is 21√11 cm². Option (d) is correct.