Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.
Solution:
Two sides length are given, we need to figure out the length of this side.⇒Let x be length of third side⇒Perimeter=42 cm⇒18+10+x=42⇒x=42-28=14 cm⇒2s=42⇒s=21 cm⇒a=18,b=10,c=14⇒A=√s(s−a)(s−b)(s−c)⇒√21(21-18)(21-10)(21-14)=√21×3×11×7⇒A=21√11cm2