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
\(a^2 + b^2 = c^2\\\\30^2 +b^2= 50^2\\\\b^2 = 50^2 - 30^2\\\\c = \sqrt{1600}\\\\c =40\)
The length of the other leg is 40 millimeters.
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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
\(\alpha^2 + \beta^2 = c^2\)
\(30^2 + \beta ^2 = c^2\)
\(\beta ^2 = c^2(50) - a^2(30)\)
\(cb = \sqrt{1600}\)
\(C = 40\)