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A right triangle has a leg with a length of 15 and a hypotenuse with a length of 1572. Tameka believes it is a 45-45-90 triangle
Which of the following statements are correct? Select all that apply
The perimeter of the triangle is 452
Tameka is correct. It is a 45-45-90 triangle.
The measure of the remaining leg is 153,
The angle opposite to the side with length 15 measures 30 degrees.
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The measure of the remaining leg is also 15.
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Sagot :

Answer:

Step-by-step explanation:

hypotenuse = 15² = 225

If the perimeter of the triangle is 452, then the remaining leg is 452-15² = 212.

However, 15² + 212² ≠ (15²)², so the perimeter is not 452.

The remaining leg cannot be 15, because 15²+15² ≠ (15²)². Therefore it is not a 45-45-90 triangle.

The remaining leg cannot be 153, because 15²+153² ≠ (15²)²

The angle opposite the leg of length 15 cannot be 30°, because the hypotenuse ≠ 2×15.

Tameka has it all wrong.

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