The perimeter of an isosceles triangle is 42 cm and its base is (3/2) times 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 sides of isosceles triangle is


Base of the triangle =


Since the perimeter of a triangle is given by:




(2


cm


Therefore sides of triangle are:


Let a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:


A = where [Heron’s Formula]



= = 21


A =


A = = cm2


Area of triangle =


71.43 =


Altitude = 7.93 cm


12