I need help with a geometry problem

timer Asked: Nov 12th, 2015
account_balance_wallet $5

Question Description

Tutor Answer

School: Rice University

Thank you for the opportunity to help you with your question!

Slant height is the height of the triangular face of the pyramid.  Here since the square base has dimensions 12 by 12, the base length of this triangle is 12 inches.  Join the midpoints of one side of the square base to the opposite side of the square base. This midsegment you created also has a length of 12inches.  Since the height of the pyramid is 10 inches and connects from the vertex of the pyramid to the midpoint of this midsegment, we see we have a triangle that is 10 inches high and base is 12 inches.   Inside it is a right triangle with base 6 inches and height 10 inches.  Let us use Pythagorean Theorem to find the hypotenuse.

This hypotenuse = Slant Height.

6^2 + 10^2 = (slant height)^2  

or in other symbols:  6*6 + 10*10 = (slant height)*(slant height)

36 + 100 = 136

slant height = square root of 136  = 11.661 inches

Answer choice A. 11.66

Please let me know if you need any clarification. I'm always happy to answer your questions.

flag Report DMCA

Good stuff. Would use again.

Similar Questions
Hot Questions
Related Tags
Study Guides

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors