Surface Area of Rectangular Pyramids Quick Check
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Question
Use the image to answer the question.
A rectangular pyramid is shown. The base of the pyramid has length labeled l and w. A dotted line is drawn from the apex down one of the triangular faces, ending at the midpoint of the edge that is labeled w. This dotted line is labeled slant height. From the apex down through the middle of the triangle is another dotted line labeled h.
What is the formula to solve for the slant height of the side triangles in the rectangular pyramid?
(1 point)
Responses
=(l2)2 + h2−−−−−−−−−√
equals Start Root left parenthesis Start Fraction l over 2 End Fraction right parenthesis squared plus h squared End Root
=(w2)2 +h2−−−−−−−−−√
equals Start Root left parenthesis Start Fraction w over 2 End Fraction right parenthesis squared plus h squared End Root
=h
equals h
=l⋅w
equals l times w
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=(l/2)^2 + h^2
equals Start Root l over 2 End Root squared plus h squared