Difference between revisions of "1969 AHSME Problems/Problem 30"

Revision as of 23:14, 30 September 2014

Problem

Let $P$ be a point of hypotenuse $AB$ (or its extension) of isosceles right triangle $ABC$ . Let $s=AP^2+PB^2$ . Then:

$\text{(A) } s<2CP^2 \text{ for a finite number of positions of P}\quad\\ \text{(B) } s<2CP^2 \text{ for an infinite number of positions of P}\quad\\ \text{(C) } s=2CP^2 \text{ only if P is the midpoint or an endpoint of AB}\quad\\ \text{(D) } s=2CP^2 \text{ always}\quad\\ \text{(E) } s>2CP^2 \text{ if P is a trisection point of AB}$

Solution

$\fbox{D}$

1969 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 29	Followed by Problem 31
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Difference between revisions of "1969 AHSME Problems/Problem 30"

Revision as of 23:14, 30 September 2014

Problem

Solution

See also