Respuesta :

check the picture below.

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Answer:

(C) 12.5mm

Step-by-step explanation:

It is given that a pyramid having slant height AC is to be determined. From the given information, we get

AB=12mm, BC=3.5mm and we have to find out the value of AC.

Thus, using the Pythagoras theorem, we have

[tex](AC)^2=(AB)^2+(BC)^2[/tex]

Substituting the given values, we have

[tex](AC)^2=(12)^2+(3.5)^2[/tex]

[tex](AC)^2=144+12.25[/tex]

[tex](AC)^2=156.25[/tex]

[tex]AC={\sqrt{156.25}}[/tex]

[tex]AC=12.5mm[/tex]

Therefore, the value of the slant height is 12.5mm.

Hence, option C is correct.

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