SATHEE: Quantitative Aptitude Ques 817

Quantitative Aptitude Ques 817

Question: If the perimeter of a right angled triangle is 56 cm and area of the triangle is $ 84cm^{2}, $ then the length of hypotenuse is (in cm)

Options:

A) 25

B) 50

C) 7

D) 24

Show Answer

Answer:

Correct Answer: A

Solution:

Let a, b and c be the sides of the triangle and 6 is the length of the hypotenuse. Now, perimeter = 56
$ a+b+c=56 $
Area = 84

$ \Rightarrow $ $ \frac{1}{2}\times ac=84 $

$ \Rightarrow $ $ ac=168 $ By Pythagorus theorem, $ b^{2}=a^{2}+c^{2} $ $ ={{(a+c)}^{2}}-2ac $ $ ={{(56-b)}^{2}}-2\times 168 $

$ \Rightarrow $ $ b^{2}=3136+b^{2}-112b-336 $

$ \Rightarrow $ $ 112b=2800 $

$ \Rightarrow $ $ b=\frac{2800}{112}=25 $

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Quantitative Aptitude Ques 817

Question: If the perimeter of a right angled triangle is 56 cm and area of the triangle is $ 84cm^{2}, $ then the length of hypotenuse is (in cm)

Options:

Answer:

Solution:

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