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miskamm [114]
3 years ago
7

The hypotenuse of a 45°-45°-90° triangle measures 18 cm. What is the length of one leg of the triangle?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

The legs of a 45 45 90 triangle are congruent so if one leg is x we can write (using the Pythagorean Theorem):

x² + x² = 18²

2x² = 324

x² = 162

x = 9√2

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With this, we then add the top numerator of the overall problem:

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