# Math

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How would you solve for X if X was the hypotenuse of a 45-45-90 triangle and the other two sides were Square Root of 11?

• Math -

Use Pythagoras theorem:

hypotenuse² = side1²+side2²l
=(√11)²+(√11)²
= 11 + 11
= 22
Therefore
hypotenuse = √22

• Math -

Thank you very much! I thought it was 2 Square Roots of 11. You saved me.

• Math -

The method I have shown above is more general, and applies to any right-triangle.

For a 45-45-90 triangle, you were close with the answer. A short-cut would be to multiply each side by √2, which makes:
√2 * √11
=√22.

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