Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
The hypotenuse of a right-angled isosceles triangle is 5 cm. The area of the triangle is
(a)$5 \mathrm{cm}^{2}$
(b)$6.25 \mathrm{cm}^{2}$
(c)$6.5 \mathrm{cm}^{2}$
(d)$12.5 \mathrm{cm}^{2}$
Answer
Answer (as printed): B
Explanation
Let the length of each side containing the right angle be $x \mathrm{cm}$. Then, $x^{2}+x^{2}=5^{2} \Rightarrow 2 x^{2}=25 \Rightarrow x^{2}=\frac{25}{2} \Rightarrow x=\frac{5}{\sqrt{2}}$.