Question

3) The sides of a triangle measure 12 cm,
16 cm and 20 cm, then find the area of
the triangle.

Answer 96 cm



step by step​

Answer 1

Answer:

The given triangle is a right angled triangle.

(Hypotenuse^2)=(base^2)+(altitude^2)

Hypotenuse^2=20^2=400

(base^2)+(altitude^2)

=(16^2)+(12^2)

=256+144

=400

L.H.S=R.H.S

So the triangle is a right angled triangle.

Area of a right angled triangle

=(1/2)(base x altitude)

So, area of the triangle

=(1/2)(16 x 12)

=(1/2)(192)

=96 cm²