Question

find the missing side of the triangle using the pythagorean theorem. round to the nearest tenth.
22
16 mi
8 mi
x
a 11.3 miles
b 22.6 miles
c 27.7 miles
d 13.9 miles

Explanation:

Step1: Write the Pythagorean theorem formula

$a^{2}+b^{2}=c^{2}$ (where \(c\) is the hypotenuse, \(a = 8\), \(c=16\), and \(b=x\))

Step2: Substitute the values into the formula

$8^{2}+x^{2}=16^{2}$
$64 + x^{2}=256$

Step3: Solve for \(x^{2}\)

$x^{2}=256 - 64$
$x^{2}=192$

Step4: Find \(x\)

$x=\sqrt{192}\approx13.9$

Answer:

D. 13.9 miles