h of the equal0. The perimeter of an isosceles triangle is 42 cm and its base is (3/2) times each of the eousides. Find the length of each side of the triangle, area of the triangle and the heightofthetriangle.

h of the equal0. The perimeter of an isosceles triangle is 42 cm and i

1.	h of the equal0. The perimeter of an isosceles triangle is 42 cm and its base is (3/2) times each of the eousides. Find the length of each side of the triangle, area of the triangle and the heightofthetriangle.
Answer» Let the side of the isosceles triangle be xGIVEN3/2 x +x +x=42cm3x/2 + 2x =42(3x+4x)/2=423x+4x=847x=84x=12cmside=12cm base=18cmThe height(altitude) of an isos. trangle divides it into two rt tranglesin a rt.trangle, base²+heigrt²=hypotenuse²thus, 9²+h²=12²h=√12²-9²=√144-81 =√63 =3√7cmarea =1/2 x base x hieght =1/2 x 18 x3√7 27√7cm²