Question

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

Answer 1

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  

$\alpha^2 + \beta^2 = c^2$ 

$30^2 + \beta ^2 = c^2$ 

$\beta ^2 = c^2(50) - a^2(30)$ 

$cb = \sqrt{1600}$ 

$C = 40$ 

Answer 2

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

The length of the other leg is 40 millimeters.