Question

question 23/35
find the missing side of the triangle using the pythagorean theorem. round to the nearest tenth.
8 mi
16 mi
x
a 13.9 miles
b 27.7 miles
c 11.3 miles
d 22.6 miles

Explanation:

Step1: Identify triangle parts

Right triangle: legs 8, x; hypotenuse 16

Step2: Apply Pythagorean theorem

$a^2 + b^2 = c^2 \Rightarrow 8^2 + x^2 = 16^2$

Step3: Calculate squares

$64 + x^2 = 256$

Step4: Solve for $x^2$

$x^2 = 256 - 64 = 192$

Step5: Find x

$x = \sqrt{192} \approx 13.9$ (rounded to nearest tenth)

Answer:

A. 13.9 miles