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
Show Answer
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.