Smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter 64cm Se...........

Quantitative Aptitude ( CCS) Mensuration 2D

Smallest side of a right angled triangle is 8 cm less than the side of a square of perimeter 64cm . Second largest side of the right angled triangle is 4 cm less than the length of rectangle of area 112 sq. cm and breadth 8 cm .What is the largest side of the right angled triangle?

9.2cm

7.75cm

10.50cm

12.80 cm

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Explanation:

Side of a square = (perimeter /4) = 64/4 = 16 cm
smallest side = 16 – 8 = 8cm
Length of the rectangle = Area/Breadth = 112/8 = 14cm
Second side of triangle = 14 – 4 = 10cm
Hypotenuse of the right angled triangle = √(8)^2+(10)^2 = 12.80 cm