Respuesta :
The length of the other side is : 16cm
What is a right-angled triangle?
A right-angled triangle is a triangle with one of its angle 90 degrees and has two adjacent sides and a hypotenuse which is the longest side.
Analysis:
Since it is a right-angled triangle, we use Pythagoras theorem
[tex]hypotenuse^{2}[/tex] = [tex]opposite^{2}[/tex] + [tex]adjacent ^{2}[/tex]
hypotenuse = 20cm, opposite = 12cm, adjacent = xcm
[tex]20^{2}[/tex] = [tex]x^{2}[/tex] + [tex]12^{2}[/tex]
[tex]x^{2}[/tex] = 400 - 144
[tex]x^{2}[/tex] = 256
x = [tex]\sqrt{256}[/tex] = 16cm
In conclusion, the length of the other side is 16cm
Learn more about right-angled triangle: brainly.com/question/64787
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