if one leg is 14 in and the other on is 12in how long is the hypotenuse?
2006-12-16 02:04:47 · 17 answers · asked by shawn 1 in Science & Mathematics ➔ Mathematics
hypotenuse=rt(14^2+12^20
rt(196+144)
=rt340
=18.44 in approx
2006-12-16 02:07:28 · answer #1 · answered by raj 7 · 4⤊ 0⤋
The formula for finding the hypotenuse (among other things) is
a^2 + b^2 = c^2 (pythagorean theorem)
C is always the hypotenuse, and a and b are always the two legs.
Therefore, you can substitute (fill in) the known values:
14^2 + 12^2 = c^2
196 + 144 = c^2
340 = c^2
So, to find c (the hypotenuse), you find the square root of 340, which is 18.439. You do this because to get c^2 to c, you find the square root of it, and what you do to one side of an equation, you have to do to the other.
I hope this helps! And sorry if I over explained anything -- I wasn't trying to undermine your intelligence, I would just rather be extra thorough than leave you wondering how I got to the answer. :) Take care!
2006-12-16 02:15:02 · answer #2 · answered by Anonymous · 2⤊ 0⤋
Use the Pythagorean theorem: The square of the Hypotenuse equals the sum of the squares of the two other sides. As an equation: c^2 = a^2 + b^2
Where c is the hypotenuse, and a and b are the legs.
2006-12-16 02:14:34 · answer #3 · answered by disgracedfish 3 · 2⤊ 0⤋
Use pythagorean theorem to find the length of hypotenuse if you know the other lengths
h^2 = leg1^2+leg2^2
= 14^2 + 12^2
= 196 + 144 = 340
Thus, h = sqrt(340) = 18.44 approximately.
2006-12-16 02:11:36 · answer #4 · answered by mulla sadra 3 · 2⤊ 0⤋
Use the Pythagorean theorem:
a^2+b^2=c^2
the hypotenuse is c
a=14 in.
b=12 in.
(14)^2+(12)^2=c^2
196+144=c^2
340=c^2
√340=√c^2
c=18.4
The hypotenuse is 18.4 in.
2006-12-16 05:30:12 · answer #5 · answered by Anonymous · 1⤊ 0⤋
rember the phytagorean theorem?
c^2 = a^2 + b^2
c^2 = hypotenuse (longest side)
a^2 and b^2 =two other sides
c^2 = 14^2 + 12^12
c^12 = 196 + 144
c^2 = 340
square both sides to make c^2 = c
c = 18.44
2006-12-16 02:16:44 · answer #6 · answered by racz_jay25 2 · 2⤊ 0⤋
hypotenuse=h
one side=14
other side=12
h^2=14^2+12^2
=196+144
=340
h=root of 340
=2root85
the answer is(i think)2root 85
2006-12-16 04:31:11 · answer #7 · answered by tarena 2 · 2⤊ 0⤋
The hypotenuse, accurate to 3 decimal places is 18.439
The Pythagorean theorem says:
(for your particular triangle)
14 squared + 12 squared = hypotenuse squared
340 = hyp sqrd. etc.
2006-12-16 02:12:15 · answer #8 · answered by answerING 6 · 2⤊ 0⤋
a² = b² + c²
a² = 14² + 12²
a² = 196 + 144
a² = 340
a = 18,44 in
The hypotenuse is round 18,45 in.
>`´<
2006-12-16 02:16:26 · answer #9 · answered by aeiou 7 · 2⤊ 0⤋
A^2 + B^2 = C^2
14^2 + 12^2 = C^2
194 + 144 = C^2
340 = C^2
18.43908891 = C
2006-12-16 02:12:52 · answer #10 · answered by Barabas 5 · 2⤊ 0⤋