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Mathematics 17 Online
OpenStudy (anonymous):

Look at the figure. What is the length of AB?

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910 Help meee!

jimthompson5910 (jim_thompson5910):

Are you familiar with any trig?

OpenStudy (anonymous):

17.66 cm 19 cm 26.32 cm 29 cm

OpenStudy (anonymous):

no

OpenStudy (anonymous):

:c

jimthompson5910 (jim_thompson5910):

alright, we can use the following properties then If we have a 30-60-90 triangle, then if the shortest side is x, then the longer leg is x*sqrt(3) In this case, x = 10, so the length of AP = 10*sqrt(3) = 17.3205 In any 45-45-90 triangle, the two legs are equal. So PB = 9 Therefore AB = AP + PB AB = 17.3205+9 AB = 26.3205 AB = 26.32 <<<---- Rounding to the nearest hundredth here So the answer is choice C

OpenStudy (anonymous):

thank you sooo much! (-:

jimthompson5910 (jim_thompson5910):

you're welcome

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