Question 149

The sides of a triangle are in the ratio of 7:9:12 The difference between the lengths of largest and smallest sides is 15 cm. The length of the largest side would be:

Solution

Let the sides of the triangle be $$7x,9x,12x$$ cm respectively.

=> Difference between the lengths of largest and smallest sides = $$12x-7x=15$$

=> $$5x=15$$

=> $$x=\frac{15}{5}=3$$

$$\therefore$$ Largest side = $$12\times3=36$$ cm

=> Ans - (A)

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