The sides of the triangle are in the ratio 5: 12:13 and its perimeter is 150 cm. The area of the triangle is –
It is given in the question that,
The sides of given triangle are in the ratio 5: 12: 13
Let the sides be 5x, 12x and 13x
According to the question,
5x + 12x + 13 x = 150
30x = 150
x =
x = 5
So, 5x = 25
12x = 60
13x = 65
Semi-perimeter =
=
= 75 cm
Now, by using Heron’s formula we get:
Area of triangle =
=
=
= 750 cm2
Hence, option (b) is correct