a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth.
21.23
19.88
16.12
11.49
2007-05-02 05:14:43 · 6 answers · asked by emily r 1 in Science & Mathematics ➔ Mathematics
a^2=c^2-b^2
a^2=14^2-8^2
a^2=132
a=11.49
D
2007-05-02 05:20:12 · answer #1 · answered by anotherAzn 4 · 1⤊ 0⤋
This is really easy:
Let the third side be a
Therefore, c^2 = a^2 + b^2
=> 14^2 = a^2 + 8^2
=> 196 = a^2 + 64
=> a^2 = 196 - 64
=> a^2 = 132
=> a = 11.49
2007-05-02 12:20:33 · answer #2 · answered by Enlightened 2 · 1⤊ 0⤋
11.49
a^2 + B^2 = c^2
a^2 + 8^2 = 14^2
a^2 + 64 = 196
a^2 = 132
2007-05-02 12:19:55 · answer #3 · answered by Kathryn 6 · 1⤊ 0⤋
a^2+8^2=14^2
a^2+64=196
a^2=132
a=11.49
2007-05-02 12:48:18 · answer #4 · answered by Anonymous · 0⤊ 0⤋
11.49
It's a 'twist' on the Pythagorean formula: hypotenuse^2 = (side a)^2 + (side b)^2
since you know the hypot. and side b...
side a = squareroot( hypot^2 - side_b^2)
side a = squareroot (14^2 - 8^2)
side a = squareroot (196 - 64)
side a = squareroot(132)
side a = 11.489125...
.
2007-05-02 12:18:34 · answer #5 · answered by tlbs101 7 · 1⤊ 0⤋
11,49
2007-05-02 12:21:31 · answer #6 · answered by kulla 3 · 1⤊ 0⤋