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aev [14]
3 years ago
15

Which of the following sets could be the sides of a right triangle? {2, 3,square root 10} {3, 5, square root 34} {5, 8, 12}

Mathematics
2 answers:
NemiM [27]3 years ago
5 0

2,3,√10

is the answer

Setler79 [48]3 years ago
3 0

Answer:

Option 2 is correct.

Step-by-step explanation:

For right triangle

The pythagoras theorem should satisfy

The square of longest side should be equal to the sum of square of other two sides

c^2=a^2+b^2

Case1:

We have (2,3,\sqrt{10})

If we substitute in the formula

c=\sqrt{10},a=2,b=3  we get:

10\neq9+2

which does not satisfy the condition.

Case2:

We have  (3,5,\sqrt{34})

If we substitute in the formula

c=\sqrt{34},a=3,b=5  we get:

34=25+9

which satisfies the condition.

Hence, option 2 is correct.


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