What is the length of the altitude that is perpendicular to the hypotenuse?
2007-03-11 15:15:30 · 6 answers · asked by Trina 1 in Science & Mathematics ➔ Mathematics
The height is equal to 12/7 times the square root of 13.
2007-03-11 15:28:45 · answer #1 · answered by dixtirix 1 · 1⤊ 0⤋
6.180945044... . How is this derived:
The length of the remaining side of the right-angled triangle is (14^2 - 12^2)^(1/2) = sqrt (52) = 7.211102551... .
By similar triangles, the length of the requested altitude is:
(12/14) x sqrt (52) = (6/7) x 7.211102551... = 6.180945044... .
Another way of expressing this is as (12/7) sqrt(13).
QED
Live long and prosper.
2007-03-11 15:28:28 · answer #2 · answered by Dr Spock 6 · 0⤊ 0⤋
I just wanted to point out to everyone else that she isn't looking for the length of the third side, she is looking for an altitude. Unfortunately, I learned that tooooo long ago to be able to help.
2007-03-11 15:29:43 · answer #3 · answered by Lady Thompson 2 · 0⤊ 0⤋
a² = b² + c²
14² = b² + 12²
196 - 144 = b²
b² = 52
b = altura = 7.21cm
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2007-03-11 15:20:18 · answer #4 · answered by aeiou 7 · 0⤊ 0⤋
triangle .when tow side are equal the third is equal
2007-03-11 15:21:13 · answer #5 · answered by Anonymous · 0⤊ 0⤋
7.2111
2007-03-11 15:26:31 · answer #6 · answered by zhao y 2 · 0⤊ 0⤋