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Soloha48 [4]
2 years ago
10

Please help me with this problem.

Mathematics
2 answers:
Harrizon [31]2 years ago
7 0

Answer:

60

Step-by-step explanation:

45^{2} +b^{2} =75^{2} \\2025+b^{2}=5625\\b^{2} =3600\\b=60

Nesterboy [21]2 years ago
5 0

Answer:

60 m

Step-by-step explanation:

use Pythagorean Theorem:

a = missing side

a² + 45² = 75²

a² + 2025 = 5625

a² = 3600

a = \sqrt{3600}

a = 60

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8 0
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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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