A triangular pendant has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?.

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24-12-2022
Mathematics

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A triangular pendant has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?.

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Anshuyadav Anshuyadav · Answer 1 · 2022-12-28T14:45:11+01:00

According to Pythagoras theorem, the value of the third side of the triangle is 38.6mm

In math Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

Here we have given that the triangular pendant has two sides of length 23 mm and 31 mm.

And we need to find the possible lengths (in whole mm) for the third side.

Here in the given question, we have the values of the two sides are 23mm and 31mm.

Then we have to apply the values on the Pythagoras theorem formula,

=> hypotenuse² = adjacent² + opposite²

Now, we have to apply the values as opposite and adjacent on it, then we get,

=> hypotenuse²= 23² + 31²

=> hypotenuse² = 529 + 961

=> hypotenuse² = 1490

Therefore, the value of the third side is 38.6mm

To know more about Pythagoras theorem here.

https://brainly.com/question/343682

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