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A 45-45-90 triangle has a leg of length 5.38. What is the length of the other leg?

1 Answer

7 votes

Answer:

5.38 units

Explanation:

Because of the base angle theorem converse, This triangle is an isosceles triangle.

Because this is an isosceles triangle, because the leg of the triangle is 5.38 units, that means the other leg has to be 5.38 units

You may be asking, how do I know it's the other leg that's congruent.

Well, the angle opposite to the 90° angle is the hypotenuse, and we want the line segment opposite of the 45° angle. And both the legs are opposite to the 45° angles.

Let me know if you have any questions.