IKMC 2027 - Grades 7-8 - Self-study SET 9 - Thematic Batch 3 Question 11

Question 11

The figure shows the first four isosceles right triangles in a sequence continued by the same rule. Given AB=AC=1, find the hypotenuse of the 2014th triangle.

Question illustration

$2^{1006}$
$2^{1007}$
$2^{1008}$
$2^{1009}$
$2^{1010}$