The length of other leg of triangle is 2√11 units.
Step-by-step explanation:
Given,
One leg = a = 10 units
Hypotenuse = b = 12 units
Let,
Other leg = c
As the triangle is right angled, therefore,
Using pythagoras theorem;
[tex]a^2+b^2=c^2\\(10)^2+b^2=(12)^2\\100+b^2=144\\b^2=144-100\\b^2=44\\[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{44}\\b=2\sqrt{11}\ units[/tex]
The length of other leg of triangle is 2√11 units.
Keywords: Pythagoras theorem, square root
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