Find the lateral edge $e$ of a pyramid if side $a = 10.5 cm$ and slant height $s = 15.13 cm$ .

Answer

$16.015 cm$

Explanation

To find lateral edge $e$ use Pythagorean Theorem:

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

After substituting $s = 15.13 cm$ and $a = 10.5 cm$ we have:

(15.13 cm)^{2} + \frac{( 10.5 cm ) ^{2}}{4} = e^{2}

228.9169 cm^{2} + \frac{110.25 cm ^{2}}{4} = e^{2}

228.9169 cm^{2} + 27.5625 cm^{2} = e^{2}

e^{2} = 256.4794 cm^{2}

e = 256.4794 cm^{2}

e = 16.015 cm

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Find the lateral edge e of a pyramid if side a=10.5cm and slant height s=15.13cm.

16.015cm

Find the lateral edge $e$ of a pyramid if side $a = 10.5 cm$ and slant height $s = 15.13 cm$ .

$16.015 cm$