Find the slant height $s$ of a pyramid if side $a = 7 cm$ and height $h = 6 cm$ .

Answer

$\frac{193}{2} cm$

Explanation

To find slant height $s$ use Pythagorean Theorem:

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

After substituting $h = 6 cm$ and $a = 7 cm$ we have:

(6 cm)^{2} + \frac{( 7 cm ) ^{2}}{4} = s^{2}

36 cm^{2} + \frac{49 cm ^{2}}{4} = s^{2}

36 cm^{2} + \frac{49}{4} cm^{2} = s^{2}

s^{2} = \frac{193}{4} cm^{2}

s = \frac{193}{4} cm^{2}

s = \frac{193}{2} cm

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Find the slant height s of a pyramid if side a=7cm and height h=6cm.

2193​​cm

Find the slant height $s$ of a pyramid if side $a = 7 cm$ and height $h = 6 cm$ .

$\frac{193}{2} cm$