Sunday, January 20, 2013

SAT GEOM: A special regular square pyramid

Consider the hand-drawn sketch of a regular square pyramid in which all 8 edges, both base and lateral, are congruent:

(1) Explain why angle PVR is a right angle.

(2) If edges each have length e, explain why the height PT has length e/√2.

(3) Any other interesting observations?

If interested in purchasing my NEW 2012 Math Challenge Problem/Quiz book, click on BUY NOW at top of right sidebar. 175 problems divided into 35 quizzes with answers at back and DETAILED SOLUTIONS/STRATEGIES for the 1st 8 quizzes. Suitable for SAT I, Math I/II Subject Tests, Common Core Assessments, Math Contest practice and Daily/Weekly Problems of the Day. Includes multiple choice, case I/II/III type and constructed response items. Price is $9.95. Secured pdf will be emailed when purchase is verified.

No comments: