Latest Book Aptitude Question SOLUTION: The perimeter of a right-angled triangle is four times the shortest side. The ratio of the other two sides is

• Placement Papers
• /
• Book
• /
• Numerical Ability
• /
• Trigonometry

Book Question Papers:

(#M40166089) BOOK Numerical Ability question Keep an EYE

The perimeter of a right-angled triangle is four times the shortest side. The ratio of the other two sides is

Asked In Book SATEESH KUMAR (5 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (0)   (2) Submit Your Solution Trigonometry

Read Solution (1) :

Devendra Marghade  (5 years ago)

4 : 5

Let the shortest (1st) side of a right-angled triangle=x, then perimeter=4x
Therefore, sum of other two sides = 4x - x = 3x
Let one of the other (2nd) side be a, then remaining (3rd) side will be (3x-a)
According to Pythagoras theorem, x² + a² = (3x-a)²
x² + a² = 9x² - 6ax + a²
a = 4x/3
Therefore, 3rd side=3x - a=3x - 4x/3=5x/3
Hence required ratio = 2nd side : 3rd side = 4x/3 : 5x/3 = 4 : 5

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.