one leg of a right triangle measures 4 inches length of the hypotenuse measures 4.1 inches how long in inches is the other leg

Respuesta :

Since it is a right angle you can use the pythagorean theorem a^2 +b^2=c^2

4^2+b^2 = 4.1^2

16 + b^2 = 16.81

b^2 = 0.81

b = 0.9

a^2 = c^2 - b^2

a^2 = (4.1)^2 - 4^2

a^2 = 16.81 - 16

a^2 = 0.81

a = 0.9


answer

other leg = 0.9 in