Find the slant height $s$ of a pyramid if side $a = 200 cm$ and lateral edge $e = 400 cm$ .

Answer

$10015 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $a = 200 cm$ and $e = 400 cm$ we have:

s^{2} + \frac{( 200 cm ) ^{2}}{4} = (400 cm)^{2}

s^{2} + \frac{40000 cm ^{2}}{4} = (400 cm)^{2}

s^{2} + 10000 cm^{2} = (400 cm)^{2}

s^{2} = 160000 cm^{2} - 10000 cm^{2}

s^{2} = 150000 cm^{2}

s = 150000 cm^{2}

s = 10015 cm

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Find the slant height s of a pyramid if side a=200cm and lateral edge e=400cm.

10015​cm

Find the slant height $s$ of a pyramid if side $a = 200 cm$ and lateral edge $e = 400 cm$ .

$10015 cm$