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Smallest side of a right angle triangle is 6 cm less than the side of a square of perimeter 60 cm. Second largest side of the right angle triangle is 4 cm less than the length of rectangle of area 80 sq. cm and breadth 5 cm. What is the largest side of the right angle triangle?

A. 

10cm

B. 

9cm

C. 

12cm

D. 

15cm

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Answer with explanation

Answer: Option D

Explanation

Side of 1st square = 60/4 = 15 cm.
Smallest side of right angled triangle= 15 −6 = 9 cm.
Length of 2nd rectangle = 80/5 = 16 cm.
Second largest side of the 1strectangle = 16−4 = 12 cm.
Largest side = hypotenuse=√9^2+12^2=15cm

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