Question

Find the area of an isosceles triangle with perimeter 36 cm and base 16 cm.

Answer 1

As two sides of isosceles are equal

Side=(36-16)/2=20/2=10

Semi perineter=36/2=18

By heron formula,

√{s(s-a) (s-b) (s-c)}

√{18(18-16)(18-10)(18-10)}

√{18*2*8*8}
√{2304}
=48cm²

Answer 2

hence area =48cm^2
in an isosceles triangle perpendicular is also the bisector .☺