Q10 of 69 Page 240

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

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