In a right angled triangle the hypotenuse is twice as long as one of the right side forming the right angle. The remaining side is 80mm long. Find the length of the hypotenuse
2007-02-13 23:50:17 · 7 answers · asked by MoLeY 1 in Science & Mathematics ➔ Mathematics
You will find the answer will be given by the use of Pythagoras theorem, which in equation forms states
Adjacent ^2+ Opposite ^2= Hypotenuse ^2
We know that the adjacent is 80mm long and the hypotenuse is 2* opposite, this will yield
80^2 + Opposite^2= (2*Opposite)^2
= 6400 + Opposite^2= 4*Opposite^2
= 6400 = 3* Opposite ^2
Therefore
Opposite^2 =6400/3 =2133.33
Taking the square root of this number yield, that the opposite is 46.188mm
Therefore the hypotenuse is 2 this = 2*46.188= 92.376mm
2007-02-14 00:06:23 · answer #1 · answered by The exclamation mark 6 · 2⤊ 0⤋
Hang on...is the distance (78.75m) the opposite of another angle? Where abouts is it in relation to the hypotenuse? If it's the only known side, you would probably go 'sin 90 = 78.75 divided by the hypotenuse (x). Hope this helps. :)
2016-03-29 06:03:21 · answer #2 · answered by Anonymous · 0⤊ 0⤋
In all right angle triangles, we have
(hypot)^2 = (side1)^2 + (side2)^2
So for this problem it is:
h^2 = (h/2)^2 + (80)^2
h^2 = (h^2)/4 + 6400
(h^2) * (3/4) = 6400
h^2 = 6400 * (4/3) = 8533.33333
h = 92.37604
check: the sides are 46.18802 and 80
92.37604^2 = 8533.33333
46.18802^2 + 80^2 = 2133.33333 + 6400 = 8533.33333
2007-02-13 23:59:05 · answer #3 · answered by morningfoxnorth 6 · 1⤊ 0⤋
I'll try...
Take one of the sides as 'x'
Hence, the hypotenuse is '2x'
I hope you know that: (Hypotenuse)^2 = (side1)^2 + (side2)^2
Following that:
(2x)^2 = x^2 + 80^2
hence, 4x^2 = x^2 + 6400
3x^2 = 6400
x^2 = 2133.333
x = 46.1802
hence, hypotenuse = 2x = 92.3760 mm.
Hope I helped...
2007-02-14 00:02:16 · answer #4 · answered by Smarty 2 · 2⤊ 0⤋
let the hypotenuse=2x and the right side angle is x
the length of remainder square
80mm^2=4x^2-x^2
hence 3x^2=6400
then divide by 3
x^2=6400/3
hence,
x=80/3^0.5
2007-02-14 00:01:49 · answer #5 · answered by urakushi 2 · 0⤊ 2⤋
(2x)^2 - 80^2 = x^2
4x^2 - 80^2 = x^2
3x^2 - 80^2 = 0
3x^2 - 6400 = 0
3x^2 = 6400
x^2 = 2133.33...
x = 46.188...
Hyp = 2x = 92.376
2007-02-14 00:01:50 · answer #6 · answered by bonshui 6 · 1⤊ 0⤋
hypotenuse:x^2
Right side:2x
Left side:80
(2x)^2+80^2=x^2
4x^2+6,400=x^2
3x^2=6,400
x^2=2,133.33
x=46.188
2(46.118)=92.376
2007-02-14 03:34:46 · answer #7 · answered by Anonymous · 0⤊ 0⤋