Math Gold Medalist
Lor
2023 AMC 10A
Problem 11
A square of area is inscribed in a square of area , creating four congruent triangles, as shown below. What is the ratio of the shorter leg to the longer leg in the shaded right triangle?
Pythagorean Theorem
Quadratic Equation
Congruent Triangles
x^2 + (sqrt(3)-x)^2 = 2
.
Solution