Find the slant height $s$ of a pyramid if side $a = 5 cm$ and height $h = 1.5 cm$ .

Answer

$2.9155 cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $h = 1.5 cm$ and $a = 5 cm$ we have:

(1.5 cm)^{2} + \frac{( 5 cm ) ^{2}}{4} = s^{2}

2.25 cm^{2} + \frac{25 cm ^{2}}{4} = s^{2}

2.25 cm^{2} + \frac{25}{4} cm^{2} = s^{2}

s^{2} = 8.5 cm^{2}

s = 8.5 cm^{2}

s = 2.9155 cm

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Find the slant height s of a pyramid if side a=5cm and height h=1.5cm.

2.9155cm

Find the slant height $s$ of a pyramid if side $a = 5 cm$ and height $h = 1.5 cm$ .

$2.9155 cm$