Find the side $a$ of a pyramid if slant height $s = 60 cm$ and lateral edge $e = 4 cm$ .

Answer

Problem has no solutions.

Explanation

To find side $a$ use Pythagorean Theorem:

s^{2} + \frac{a ^{2}}{4} = e^{2}

After substituting $s = 60 cm$ and $e = 4 cm$ we have:

(60 cm)^{2} + \frac{a ^{2}}{4} = (4 cm)^{2}

\frac{a ^{2}}{4} = (4 cm)^{2} - (60 cm)^{2}

\frac{a ^{2}}{4} = 16 cm^{2} - 3600 cm^{2}

a^{2} = - 3584 cm^{2} \cdot 4

a^{2} = - 14336 cm^{2}

This equation has no solution $⟹$ The problem has no solution.

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Find the side a of a pyramid if slant height s=60cm and lateral edge e=4cm.

Problem has no solutions.

Find the side $a$ of a pyramid if slant height $s = 60 cm$ and lateral edge $e = 4 cm$ .