Question

Find the missing length
. Leave your answers in simplest radical form

Answer 1

Use the Pythagorean theorem:

2)

`x^2+7^2=14^2\\\\x^2+49=196\qquad\text{subtract 49 from both sides}\\\\x^2=147\to x=√(147)\\\\x=√(49\cdot3)\\\\x=√(49)\cdot\sqrt3\\\\\boxed{x=7\sqrt3\ mi}`

4)

`x^2+9^2=(√(226))^2\\\\x^2+81=226\qquad\text{subtract 81 from both sides}\\\\x^2=145\to \boxed{x=√(145)\ km}`