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 = √(1600)`


`C = 40`

Answer 2

`a^2 + b^2 = c^2\\\\30^2 +b^2= 50^2\\\\b^2 = 50^2 - 30^2\\\\c = √(1600)\\\\c =40`

The length of the other leg is 40 millimeters.