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Quantitative Aptitude

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Mensuration

Question
10 out of 40
 

The smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter 56 cm. The second largest side of the right angled triangle is equal to the length of the rectangle of area 96 sq. cm. and breadth 12 cm. What is the largest side of right angled triangle?



A 10 cm
B 12 cm
C 15 cm
D 20 cm
E None of these

Ans. A

Side of square = 56/4 = 14 cm

Smallest side = 14cm – 8 cm = 6 cm

Now, l x b = 96

l = 96/12 = 8 cm

Now, In right angle triangle = x2 + a2 + b2

x2 + 62 + 82

x2 = 100

x= 10 cm

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