What is the slant height of the pyramid to the nearest tenth?
A.) 13.9 mm
B.) 15.5 mm
C.) 12.5 mm
D.) 19.0 mm
![What is the slant height of the pyramid to the nearest tenth A 139 mmB 155 mmC 125 mmD 190 mm class=](https://us-static.z-dn.net/files/d77/0b970c6e40f05700002251b2e2ac1eff.jpg)
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.