Question

The lengths of sides of a triangle are in the ratio $3:4:5$ and its perimeter is $144$ cm, then find the area of the triangle.

• A. $864c{m}^2$
• B. $866c{m}^2$
• C. $846c{m}^2$
• D. $800c{m}^2$

Answer 1

The correct option is A $864c{m}^2$

From pythogoras theorem, $3^2+4^2=25=5^2$

We know, perimeter of triangle $=144=3x+4x+5x$

$\therefore x=12$

$a=36,b=48,c=60$

$\therefore$ Area of triangle$=\frac{36\times 48}{2}=864c{m}^2$