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4 years ago

5

The lengths of the sides of a triangle are 3, 3, and the square root 3. Can the triangle be a right triangle?

2 answers:

Readme [11.4K]4 years ago

8 0

First find the decimal equivalent of square root 3: SQRT(3) = 1.732 ( roughly)

If the base and height were each 3, then the hypotenuse would need to be:

3^2 + 3^2 = C^2
9 + 9 = C^2
18 = C^2
C = SQRT(18) = 4.24

This is larger than sqrt(3), so this cannot be a right triangle.

If one leg was 3 and the other leg was sqrt(3) then the hypotenuse would be:
3^2 + 1.73^2 = C^2
9 + 3 = C^2
12 = C^2
C = SQRT(12) = 3.46

This is larger than 3, this cannot be a right triangle.

The answer is b) no.

melisa1 [442]4 years ago

8 0

No
Because it does not obey Pythagoras theorem (a^2 + b^2 = c^2)

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3 years ago

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butalik [34]

Answer:

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andrey2020 [161]

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Read 2 more answers