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Sunshine447
 3 years 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?
Sunshine447
 3 years 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?

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apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1BD/AD = AB/AC CD/AD = AC/AB (inverse of above) so BD/AD = AD/CD

apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1BD*CD=AD^2 Now can you do it?

Callisto
 3 years ago
Best 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

apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1Nice @Callisto, but does my way work?

apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1Oh, sorry forgot this is a new thread

apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1Did you know this can be used to prove Pythagoras' Theorem?

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

apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.1Hey @Sunshine447! Here's how to do it!
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