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When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 25. What is the length of the altitude?
 one year ago
 one year ago
When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 25. What is the length of the altitude?
 one year ago
 one year ago

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apple_piBest ResponseYou've already chosen the best response.1
BD/AD = AB/AC CD/AD = AC/AB (inverse of above) so BD/AD = AD/CD
 one year ago

apple_piBest ResponseYou've already chosen the best response.1
BD*CD=AD^2 Now can you do it?
 one year ago

CallistoBest ResponseYou've already chosen the best response.2
@apple_pi I would do it in this way dw:1344514762278:dw a^2+b^2 = (16+25)^2 a^2 = c^2 + 16^2 (1) b^2 = c^2 + 25^2 (2) (1) + (2) a^2 + b^2 = c^2 + 16^2 + c^2 + 25^2 (16+25)^2 = 2c^2 + 16^2 + 25^2
 one year ago

CallistoBest ResponseYou've already chosen the best response.2
Solve the equation...
 one year ago

apple_piBest ResponseYou've already chosen the best response.1
Nice @Callisto, but does my way work?
 one year ago

apple_piBest ResponseYou've already chosen the best response.1
Oh, sorry forgot this is a new thread
 one year ago

apple_piBest ResponseYou've already chosen the best response.1
Did you know this can be used to prove Pythagoras' Theorem?
 one year ago

CallistoBest ResponseYou've already chosen the best response.2
Not sure, the first time I saw this method was in a circle problem. Someone taught me this property... :
 one year ago

apple_piBest ResponseYou've already chosen the best response.1
Hey @Sunshine447! Here's how to do it!
 one year ago
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