Length of hypotenuse is 20cm.
Step-by-step explanation:
Given,
The lengths of legs = a and b = 12 cm and 16 cm
let c be the hypotenuse.
As the triangle is right angled, therefore, using Pythagoras theorem;
[tex]a^2+b^2=c^2\\(12)^2+(16)^2=c^2\\144+256=c^2\\c^2=400[/tex]
Taking square root on both sides
[tex]\sqrt{c^2} =\sqrt{400} \\c=20[/tex]
Length of hypotenuse is 20cm.
Keywords: Pythagoras theorem, square root
Learn more about pythagoras theorem at:
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