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The answer would be 14 square root of 2 hope this help sorry if it’s late
The length of the hypotenuse is [tex]14\sqrt{2}[/tex] cm.
What is Pythagorean theorem?
Pythagorean theorem, stands the well-known geometric theorem that the totality of the squares on the legs of a right triangle stands equivalent to the square on the hypotenuse.
Let the hypotenuse be x, then we can utilize the Pythagoras Theorem to estimate the length of the hypotenuse.
From the given information 45°, -45°, -90° triangle measures 14cm.
Then, the Pythagorean Theorem gives:
[tex]${data-answer}amp;x^{2}=14^{2}+14^{2} \\[/tex]
[tex]${data-answer}amp;x^{2}=2 \times 14^{2}[/tex]
Take positive square root to obtain;
[tex]$x=\sqrt{14^{2} \times 2}[/tex]
This simplifies to
[tex]$x=14 \sqrt{2}[/tex]
Therefore, the length of the hypotenuse is [tex]14\sqrt{2}[/tex] cm.
To learn more about hypotenuse
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