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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
Question
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
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Mathematics
3 years
2021-09-05T02:14:52+00:00
2021-09-05T02:14:52+00:00 1 Answers
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Answers ( )
Answer:
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