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G.4.2.2 45-45-90 Triangles

On the previous page we noticed that the hypotenuse of an isosceles right triangle (45-45-90 triangle) has a special relationship with the leg lengths. We can generalize the relationship with the following picture: The length of the hypotenuse is the length of leg multiplied by the square root of 2.

Now, without making any calculations, find the value of the hypotenuse.

Now, without making any calculations, find the value of the hypotenuse.