Sujitha had made a square pyramid but one of the triangular faces went missing. Her friend said she will help her. What should be the slant height of the pyramid if it has a base of 16 cm and height 15 cm?

5.25

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5.75

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11.5

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10.5

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Solution

The correct option is C
11.5

The triangular faces of a pyramid are isosceles triangles. In an isosceles triangle, the altitude bisects the base.

Hence, according to Pythagoras theorem,
$l^{2} = 8^{2} + 15^{2} \Rightarrow l^{2} = 64 + 225 \Rightarrow l^{2} = 289 \Rightarrow l = 17$

Hence, with a slant height of the pyramid is 17 cm.

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Sujitha had made a square pyramid but one of the triangular faces went missing. Her friend said she will help her. What should be the slant height of the pyramid if it has a base of 16 cm and height 15 cm?

The correct option is C 11.5 The triangular faces of a pyramid are isosceles triangles. In an isosceles triangle, the altitude bisects the base. Hence, according to Pythagoras theorem, l2=82+152⇒l2=64+225⇒l2=289⇒l=17 Hence, with a slant height of the pyramid is 17 cm.