Mensuration Ques 20
Question
Smallest side of a right angled triangle is $8 cm$ less than the side of a square of perimeter $56 cm$. Second largest side of the right angled triangle is $4 cm$ less than the length of rectangle of area 96 sq. $cm$. and breadth $8 cm$. What is the largest side of the right angled triangle?
(1) 20 cm
(2) 12 cm
(3) 10 cm
(4) 15 cm
(5) None of these
(Indian Overseas Bank PO Exam. 22.05.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
Side of a square $=\frac{\text { Perimeter }}{4}$ $=\frac{56}{4}=14 cm$
$\therefore$ Smallest side of the right angled triangle $=14-8=6$ cm.
Length of rectangle $=\frac{\text { Area }}{\text { Breadth }}$ $=\frac{96}{8}=12 cm$
$\therefore$ Second side of the triangle $=12-4=8 cm$
$\therefore$ Hypotenuse of the right angled triangle $=\sqrt{6^{2}+8^{2}} =\sqrt{36+64}$
$=\sqrt{100}=10 cm$
BETA
