Question

75 mm
a
60 mm
What is the length of the missing leg?

Answer 1

a = 45 millimeters

Explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

`c^(2) = a^(2) + b^(2)` (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

`a = \sqrt{c^(2) - b^(2) }`

Now we just substitute the variable that we know and get that...

`a = \sqrt{c^(2) - b^(2) }\\a = \sqrt{75^(2) - 60^(2) } \\a = √(5,625 - 3600) \\a = √(2025) \\a = 45`

Therefore a = 45millimeters.