The length of other leg b is 60 units.
Step-by-step explanation:
Given,
Length of leg a = 45 units
Length of hypotenuse = c = 75 units
Length of leg b is to find.
As the triangle is right angled, therefore, using pythagoras theorem
[tex]a^2+b^2=c^2\\(45)^2+b^2=(75)^2\\2025+b^2=5625\\b^2=5625-2025\\b^2=3600[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{3600}\\b=60[/tex]
The length of other leg b is 60 units.
Keywords: triangle, square root
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