Use the Pythagorean Theorem to find the measure of the space diagonal line in the box picture if the length of the box "a" = 13 inches; width of the box "b" = 5 inches; and height
of the box "c"= 8 inches. * S
(10 Points)
Pythagorean Theorem Formula: a? + b2 = 2
256 inches
257 inches
258 inches
(259 inches

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches