Trigonometric Equations Question 303

Question: The ratios of the sides in a triangle are 5: 12: 13 and its area is 270 square cm. The sides of the triangle in cm are

[MP PET 1989]

Options:

A) 5, 12, 13

B) 10, 24, 26

C) 15, 36, 39

D) 20, 48, 52

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Answer:

Correct Answer: C

Solution:

  • Let sides be $ 5x,,12x,,13x $ . Obviously the triangle is right angled. Hence $ \Delta =\frac{1}{2},(12x),(5x)\Rightarrow 30x^{2}=270\Rightarrow x=3 $ Hence sides are 15, 36, 39.