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Temka [501]
3 years ago
13

Which set of side lengths form a right triangle?

Mathematics
1 answer:
k0ka [10]3 years ago
8 0

Answer:

50, 48, 14

Step-by-step explanation:

Go through them one by one. The side lengths of a triangle should all plug in to the formula a^2 + b^2 = c^2. The longest side is always c because it is the hypotenuse. The other two sides are interchangeable.

8^2+ 14^2 should equal 17^2.

That simplifies to

64+196=289

That can't be true because the units digits add to 10 instead of 9.

The same method applies to 3, 5, and 6 but from experience I know that this already isn't an option.

For 50, 48, and 14, you can divide everything by 2, resulting in 25, 24, and 7.

576+49 should equal 625.

That is true.

For 53, 48, and 24

576+2304 should equal 2809.

That isn't true, it equals 2880.

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The sum of three consecutive even numbers is one hundred sixty - two.
Alenkasestr [34]

Answer:

 52

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

  x + (x+2) +(x+4) = 162

  3x = 156 . . . . . . . . . . . .subtract 6

  x = 156/3 = 52

The smallest of the three numbers is 52.

___

I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

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4 years ago
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Step-by-step explanation:

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