Question

the sides of a triangle are in the ratio 5:12:13 and its perimeter is 150cm. find the area of triangle

Answer 1

let the sides of the triangle be 5x,12x,13x.
a/q      5x+12x+13x=150
         => 30x=150
         =>x=5
           therefore, sides are 25cm,60cm,65cm.
           now,
                    area of triangle = 1/2 x b x h
                                             = 1/2 x 25 x 60 = 750 sq.cm
hope this will help.

Answer 2

let the sides be--5x,12x,13x...

Perimeter of triangle=150cm

so, 5x+12x+13x=150

30x=150

x=5


so,....sides will be


5x= 5×5=25cm

12x= 12×5=60cm

13x= 13×5=65cm



Area of triangle =

S=a+b+c/2




$s = \sqrt{s(s - a)(s - b)(s - c}$



S=25+60-65/2

=150/2

=75





$s = \sqrt{75(75 - 25)(75 - 60)(75 - 65)}$
$s = \sqrt{75(50)(15)(5)}$
$s = \sqrt{75 \times 15 \times 5 \times 50 }$
$s = \sqrt{?} 281250$
$s = 530.33$
..




hope its help uhhh