How to determine if three lengths form a triangle

Learn about the Pythagorean theorem. The Pythagoras theorem is a fundamental relation among the three sides of a right triangle. It is used to determine the missing length of a right triangle. The Pythagoras theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Pythagoras theorem can also be used to determine if a triangle is a right triangle or not. The pythagoras ineaquality can be used to determine if a triangle is an acute, right, or obtuse angle. This can be helpful if you are just given the lengths of each side of a triangle rather than trying to graph the triangle.

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[hyliankirbythesecond]

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[sym]

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[NotTryHardXShorts]

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[pritypandey]

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[moeknows]

So in each of the equations, the sum of 2 sides have to be greater than the third? Like in this case 2+10 is greater than 2 (in 2 different cases), but because 2+2 is not greater than 10, we know it's not a triangle?

In other words:
a+c>b ✔️
b+c>a ✔️
a+b>c ❌️

So it's not a triangle because we need 3 checks. Is that right?

[notyou]

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[scaredrat]

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[shawnswanson]

b + c > c (is wrong) it should be b + c > a | the idea here is that any two sides added together should be larger than the 3rd side.

[전유민-bo]

But what if they are equal like 10, 5, 15?

[reggieramirez]

What if a + b is the same as c would be a triangle?

[StefanoPassador]

Shouldn't it be like:
a + b > c, a + c > b, b + c > a?
You have said the formula correcty, but you have written it down wrong.