The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the length of the other leg

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\(a^2 + b^2 = c^2\\\\30^2 +b^2= 50^2\\\\b^2 = 50^2 - 30^2\\\\c = \sqrt{1600}\\\\c =40\)

The length of the other leg is 40 millimeters.

Hey there,Lets solve this problem together. 

We know that the hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. 

Hypotenuse = c² 
= 50 

α² = 30 

-------------- Calculations  

\(\alpha^2 + \beta^2 = c^2\) 

\(30^2 + \beta ^2 = c^2\) 

\(\beta ^2 = c^2(50) - a^2(30)\) 

\(cb = \sqrt{1600}\) 

\(C = 40\)