Question

The sides of a triangle are 15,25,20 cm. Find its area

Answer 1

By heron's formule,
area of a triangle=√s(s-a)(s-b)(s-c)
where s =(semi-perimeter) that is 30cm,
a=15cm(length of the first side),
b=25cm(length of the season side),
c=20cm (length of the third side)
So,
area of the triangle=√30(30-15)(30-25)(30-20)
=√30×15×5×10
=√22500
=150cm^2

Therefore,area of the triangle is 150cm^2

Hope this may help you.Thank you

Answer 2

By Pythagoras therom
25*2=20*2+15*2
625=400+225
Since this sides are satisfying Pythagorean Theron therefore it is a right angled triangle
Area of triangle=1/2×20×15
Area of triangle=150cm*2