KVPY SA Exam 2012 Question Paper

Question : 7 of 80

Marks: +1, -0

A regular octagon is formed by cutting congruent isosceles right-angled triangles from the comers of a square. If the square has side-length 1, the side-length of the octagon is

${√2-1}/2$
$√2-1$
${√5-1}/4$
${√5-1}/3$

Validate

Solution:

Here

2({1-x}/2)^2=x^2

(1 -x)^2= 2x^2

x=√2-1

Go to Question:

Prev Question

Next Question