Question

What is the length of the unknown leg

Answer 1

6 mm

Explanation:

Use the Pythagorean Theorem to solve for the unknown leg

`a^(2) +b^(2)=c^(2)`

Since we need to solve for a, we will manipulate the equation in terms of b and c →
`a=\sqrt{c^(2)-b^(2) }`

Here, b = 7 mm and c =
`√(85)` mm

Plugging these numbers into our equation gives us
`a=\sqrt{(√(85))^(2) -(7)^(2) }` →
`√(85-49)` =
`√(36)` = 6 mm