Find the lateral edge $e$ of a pyramid if side $a = 1.57 cm$ and slant height $s = 1.27 cm$ .

Answer

$1.493 cm$

Explanation

To find lateral edge $e$ use Pythagorean Theorem:

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

After substituting $s = 1.27 cm$ and $a = 1.57 cm$ we have:

(1.27 cm)^{2} + \frac{( 1.57 cm ) ^{2}}{4} = e^{2}

1.6129 cm^{2} + \frac{2.4649 cm ^{2}}{4} = e^{2}

1.6129 cm^{2} + 0.6162 cm^{2} = e^{2}

e^{2} = 2.2291 cm^{2}

e = 2.2291 cm^{2}

e = 1.493 cm

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Find the lateral edge e of a pyramid if side a=1.57cm and slant height s=1.27cm.

1.493cm

Find the lateral edge $e$ of a pyramid if side $a = 1.57 cm$ and slant height $s = 1.27 cm$ .

$1.493 cm$