Question

The slant height of the pyramid in the given figure below is in.

• A. 27
• B. 25
• C. 29
• D. 30

Answer 1

The correct option is B 25


Here,
Base length of the pyramid = 14 in
Perpendicular length (AB) = 24 in
$\therefore BC=\frac{\text{Base length}}{2}=\frac{14}{2}=7in$

The triangle shown inside the pyramid can be represented as :

Applying the Pythagorean Theorem in triangle ABC, we get:

$A{C}^2=A{B}^2+B{C}^2$
$={24}^2+7^2$
$=576+49=625$

$\Rightarrow AC=25\text{in}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴ The slant height of the pyramid = 25 in