06/17/2020 (2011: National Sprint Round, Problem 30)
Q: In triangle ABC, AB = 12 units and AC = 9 units. Point D is on segment BC so that BD: DC = 2:1. If AD = 6 units, what is the length of segment BC? A: 3√(33)
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06/17/2020 (2011: National Sprint Round, Problem 29)
Q: In pentagon ABCDE, BC = CD = DE = 2 units, ∠E is a right angle and m∠B = m∠C = m∠D = 135 degrees. The length of segment AE can be expressed in simplest radical form as a + 2√b units. What is the value of a + b? A: 6