Question

What is the length of the unknown leg

Answer 1

Answer:

6 mm

Step-by-step 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 = $\sqrt{85}$ mm

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