Showing posts with label mathleague. Show all posts
Showing posts with label mathleague. Show all posts
Tuesday, December 10, 2013
Answer to one mathleague quesiton from AoPS
Question is here.
You have two congruent triangles. 17-same angle and- x (SAS)
Using distance formula, the two green lines are of the same length.
\(\left( a-25\right) ^{2}+\left( 20-15\right) ^{2}=a^{2}+20^{2}\)
a = 5
Use another distance formula to get x -- the blue line.
\(\sqrt {\left( 5-17\right) ^{2}+20^{2}}=\sqrt {544}= 4\sqrt {34}\)
Subscribe to:
Posts (Atom)