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Mathematics 18 Online
OpenStudy (anonymous):

Please help :) In △PQR, QS is an altitude. (picture) Solve for x and y. x=10, y=10square(5) x=10square(5), y=square(10) x=5square(10), y=10 x=10, y=5square(10)

OpenStudy (anonymous):

OpenStudy (anonymous):

@cwrw238 can you help please!

jimthompson5910 (jim_thompson5910):

hint: 5/x = x/20

jimthompson5910 (jim_thompson5910):

this is exploiting the fact that all 3 triangles are similar

OpenStudy (anonymous):

@jim_thompson5910 I think x=10 but how do you find y?

jimthompson5910 (jim_thompson5910):

x = 10 is correct

jimthompson5910 (jim_thompson5910):

now use the pythagorean theorem to find y

jimthompson5910 (jim_thompson5910):

a^2 + b^2 = c^2 x^2 + 20^2 = y^2 10^2 + 20^2 = y^2 ... ... ... y = ???

OpenStudy (anonymous):

ok i think this is right but i got y=10square(5) @jim_thompson5910

jimthompson5910 (jim_thompson5910):

it is, nice work

OpenStudy (anonymous):

Thanks :)

jimthompson5910 (jim_thompson5910):

you're welcome

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