AB=5√2 Найти: AC, BC

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вопрос

To find AC and BC, we first need to find the length of the line segment AB.

Given that AB = 5√2, we can apply the Pythagorean theorem to find the lengths of AC and BC.

Let AC = x and BC = y.

Using the Pythagorean theorem on right triangle ABC:
AC^2 + BC^2 = AB^2
x^2 + y^2 = (5√2)^2
x^2 + y^2 = 50

We can't solve for x and y individually with just this equation. However, we do know that AC and BC are perpendicular to each other, so they divide AB into two segments in a ratio.

Since AB was divided solely using 45-45-90 triangle, the ratio it is divided in is the 1:1 ratio.

So, AC = BC = √25 = 5.

Therefore, AC = BC = 5.