Question

Find the area of a triangle with legs that are 9mm 6mm and 12mm

Answer 1

Here we are given the three sides of the triangle.

So we have Heron's formula to find its area.

Heron's formula is given by :

`A= √(S(S-A)(S-B)(S-C))`

where A, B and C are sides of triangle and S is semi perimeter which is given by,

`S= (A+B+C)/(2)`

plugging values of A, B and C to find S

`S= (9+6+12)/(2)`

S=13.5

Now plugging values of A, B , C and S in Heron's formula

`A= √(13.5(13.5-9)(13.5-6)(13.5-12))`

A=26.14 mm²

Answer: Area of triangle is 26.14 mm².