Can you find x?
Geometry
Level
2
If each of colored triangles are isosceles, then can you find the value of x?
The answer is 5.66.
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1 solution
All of them are right isosceles triangle,so the the hypotenuse of the orange triangle is sqrt 2 * 1=sqrt 2 which is one of the equal sides of blue one.Now blue one's hypotenuse is sqrt 2 * sqrt 2=2.Like this all of the hypotenuse of bigger triangle's hypotenuse is sqrt 2 * the previous one.By this way the hypotenuse of the yellow one becomes 4,so hypotenuse of the green one=x=4 * sqrt 2=5.66