Respuesta :

if the shorter leg is 12 the only answer larger than 12 is 16.

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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