A rectangualr rug is 15 ft wide && 20 ft long. If you cut the rug along its diagonal, what will be the dimensions of one of the resulting triangular pieces??
i 4got how to do this. can some one please help me??
please explain what i have to do b/c im a lil frazzled!
2007-09-05 12:17:13 · 5 answers · asked by Reece 1 in Science & Mathematics ➔ Mathematics
mathmannix-It scares me who can get a degree now days! Didn't ask for the area they asked for the dimensions! Hello, is anyone there? Same for you Curly!
Dimensions of the triangle are a, b, and c
a=length=15
b=width=20
c=hypotenuse=unknown
a^+b^=c^
therefore:
(15x15) +(20x20)=c^
therefor:
225+400=c^
therefore:
625=c^
c= square root of 625
c=25
The dimensions are 15,20, and 25
Good Luck!
2007-09-05 12:31:53 · answer #1 · answered by Kristi 3 · 0⤊ 0⤋
When you cut along the diagonal of a rectangle or square you are simply cutting it in half. So the area of the cut piece is half the full area. The full area is length times width.
So the area of the cut piece is:
=(15*20)/2
=300/2
=150 sq ft (the answer is in ft*ft or sq ft)
Note: you would only have to use Pythagorean theorem if you needed to know the length of the diagonal side once the rug is cut.
2007-09-05 19:28:32 · answer #2 · answered by curly 2 · 0⤊ 1⤋
No. although finding the diagonal is easy with the pythagorean theorem (it's 25), the formula for the area of a triangle is
A = 1/2 (B + H)
so, A = 1/2 (15+20)
= 1/2 (35)
= 17.5
2007-09-05 19:23:43 · answer #3 · answered by mathmannix 3 · 0⤊ 1⤋
Yes.
15squared + 20 squared = 225 + 400 = 25 squared
Thus the pieces have sides 15, 20, 25
2007-09-05 19:22:48 · answer #4 · answered by Beardo 7 · 1⤊ 0⤋
no remember the 3-4-5 and 5-12-13 right triangles and any multiple of those numbers always work
15 and 20 = 3 and 4
hy[ptenose is 25
2007-09-05 19:26:23 · answer #5 · answered by bobo 3 · 0⤊ 1⤋