The perimeter of an isosceles triangle is 42cm and its base is 3/2times each of the equal sides .find the length of each side of the triangle, area of the triangle and the height of the triangle..
Let the equal side be x and base 3x/2
Perimeter = 42 cm
x + x + 3x/2 = 42 cm
7x = 84 cm
x = 12 cm
Hence, sides are 21cm, 12 cm, 18cm
Since, it is an isosceles triangle if we draw an altitude it will divide the triangle in 2 equal parts.
Let height be h.
h2 = (12)2 - 92
h2 = 63