The measure of the other leg of right angled triangle is 15.5cm
The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
According to the question
In a right angled triangle
Hypotenuse = 16 cm
Base = 4 cm
measure of the other leg or perpendicular is
Now ,
By applying Pythagoras theorem
[tex]Hypotenuse^{2} = Base^{2} + Perpendicular^{2}[/tex]
substituting the values
[tex]16^{2} = 4^{2} + Perpendicular^{2}[/tex]
256 = 16 [tex]+ Perpendicular^{2}[/tex]
240 = [tex]Perpendicular^{2}[/tex]
applying square root both side
Perpendicular = 15.5 cm
Hence, the measure of the other leg of right angled triangle is 15.5cm
To know more about Pythagoras theorem here:
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