Question

solve if ur genius.. for ur convenience answer is 15..
try to answer after reading the question.. full explanation needed.. I'll mark correct one as brainliest... let's see how many genius people are here..
wrong ones will be reported..

Answer 1

this is ur required result in attachment

Answer 2

Answer:

The problem took me a little while to solve. I considered drawing the hypotenuses of various triangles, and I also tried using coordinate geometry. But I could not get these approaches to work.

Then I thought, what would happen if I rotated the diagram so the line segments with 12 and 9 were horizontal?

Then it struck me: we can find the distance between the endpoints by forming a right triangle where the bottom leg is 12 + 9 = 21 and the other leg is 3.

The hypotenuse is then:

212 + 32 = 441 + 9 = 450 = c2

c = √450 = 15√2

This distance equals the diagonal of the square.

The diagonal of a square is the hypotenuse of an isosceles right triangle, so its length is x√2.

Thus we have x√2 = 15√2 so x = 15.

pls mark me as a brain list