A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tent
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A box in the shape of a rectangular prism has the dimensions shown What is the length of the interior diagonal of the box Round to the nearest tent Enter your class=

Respuesta :

colevv

Answer:

141.4 cm

Step-by-step explanation:

Refer to the notations in the attached photo,

AG = d

Using Pythagoras Theorem:

In triangle ABC,

AC

=[tex] \sqrt{ {60}^{2} + {80}^{2} } [/tex]

=[tex] \sqrt{3600 + 6400} [/tex]

=[tex] \sqrt{10000} [/tex]

= 100 cm

∴ AC is 100 cm.

In triangle ACG,

d

=[tex] \sqrt{ {100}^{2} + {100}^{2} } [/tex]

=[tex] \sqrt{10000 + 10000} [/tex]

=[tex] \sqrt{20000} [/tex]

= 141.4 cm (cor. to the nearest tenth)

Ver imagen colevv
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