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In this triangle, AB=6. Find the length of one of the legs.

In this triangle, AB=6. Find the length of one of the legs.-example-1

1 Answer

2 votes

Answer:

3* square root of 2

Explanation:

AC=BC (Given)

AB=6 (Given)

AC^2+BC^2=AB^2 (pythagorean theorem)

2AC^2=36 (Given and substitution)

AC^2=36/2

AC^2=18

So, AC is the square root of 18, which simplifies to 3* square root of 2

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