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Tutors Answer Your Questions about Pythagorean-theorem (FREE)
Question 173498: A garden lot is in the shape of a right triangle. The hypothenuse is 30 yds. longer than twice the length of the shorter leg, and the longer leg is 20 yds. longer than twice the length of the shorter leg. What are the lengths of the three sides?
Click here to see answer by nerdybill(2448)   |
Question 173712: Janice bought a 13 foot inflatable snowman to display in her yard during the holidays. She bought a 22 foot rope to anchor to the top of the snowman. How far away from the base of the snowman should she stake the other end of the rope so the snowman doesn't lean?
Click here to see answer by nerdybill(2448) |
Question 174131: Area of a sail: The area in square meters for a triangular square sail is given by A(x)=x^2+5x+6. Find A(5) If the height of the sail is x+3 meters, then what is the length of the base of the sail?
I plugged in 5 in the x variables. A(5)= 5^2 + 5(5) +6 which will equal A(5)=56
Thus, the answer that I got was 11.2 meters. The second question is where I think I am off track. Starting with a^2+b^2=c^2 Do I plug in the 5? I was orignially using the 5 as the hypotenuse. My answers are coming out crazy. I have worked this problem for 2 hours now. I am ready to throw my computer.
Click here to see answer by scott8148(3385)  |
Question 172215: The sidewalk on a college campus makes the shape of an L. The sidewalk was constructed such that the length of one side of the L is two times as long as the other side of the L. The length of the diagonal sidewalk that connects the ends of the L is 102 feet. Find values for both sides of the L.
A^2 + B^2 = 102^2
A = 2B
(2B)^2 + B^2 = 102^2
4B^2 + B^2 = 102^2
5B^2 = 102^2
5B = Sqrt(102^2)
5B = 102
B = 102/5
B = 20.4
A = 20.4*2
A = 40.8
40.8^2 + 20.4^2 does not equal 102^2 =(
Click here to see answer by actuary(84)  |
Question 175482: Please, i need your help to understand how to solve the measurement of the hypotenuse. I understand a^2+b^2=c^6, but i dont understand how to solve for a missing side when rationalized into a radical.
for example, a=18 b=? c=33
i know it should be 324+b^2=1089
-324
b^2=765
but what do i do next?
i would greatly appreciate it if you helped me. thank you.
Click here to see answer by jim_thompson5910(13794) |
Question 176051: John made a small rectangular table for his workroom. The sides of the table are 36 inches and 18 inches. If the diagonal of the table measures 43 inches,is his table a true rectangle? explain your answer.
can you please help me its so hard,and i just transferred in our school and i didn't know anything about pythagorean theorem.
Click here to see answer by Mathtut(3670) |
Question 176467: Everybody knows that the Pythagorean Theorem works, and I can probably find a mathematical proof that is satisfying, but I want to know why, in ordinary, conversational terms, why it works!
Thanks so much!
Click here to see answer by Mathtut(3670) |
Question 176568: Each of the following triples represents the side lengths of a triangle. Determine whether the triangle is right, acute, or obtuse.
1) 5,9,12
2) 7,24,25
3) 3,4,5
Find the area of each figure. Please leave your answer in radical form.
4) What is the length of a diagonal of a square with a side length of 5?
Click here to see answer by edjones(3298)  |
Question 176570: Please try to answer the following questions if possible. I'm having problems trying to learn pythagorean theorem. Thanks
Two side lengths of a right triangle are given. Find the missing side length. Leave your answers in radical form.
1) a=3,b=4,c=____.
2) a=46,b=73,c=____.
3) a=27,b=____,c=53.
Click here to see answer by edjones(3298) |
Question 177391: PLease help. I think I have this one figured out, but I have a question about the end. The problem is: In a right triangle, find the length of the side not given. One side is a, the other side is 1 and the hypotneuse is the square root of 5.
So I used the formula of a^2+b^2=c^2 and plugged in the numbers.
a^2+(1)^2=the square root of 5^2.
my question is would that become the problem: a^2+1=5 ?
Thank you
Click here to see answer by jim_thompson5910(13794) |
Question 178157: a woman driving a car 12ft long is passing a truck 32 ft long. the truck is traveling at 50mi/h. how fast must the woman drive her car so that she can pass the truck completely in 6 sec. (Use feet and seconds instead of miles and hours.)
Click here to see answer by Alan3354(6097)  |
Question 178639: What do you do if an squared root of an number comes out as an dismal and the question says to put it in the simplest form? Do I have to round the whole number or do I have to do the dismal? If I do have to dismal, How many numbers do I put down?
If you don't get that question, Here's the question I have to do and how far I have gotten:
Find the missing length. Write your answer in the simplest form.
A=5
b=2
c=?
5 squared + 2 squared
25+ 4
29=c squared
the root 29 is 5.3851. . .
How do I put that dismal into the simplest form?
Click here to see answer by stanbon(26296) |
Question 178943: A tree 36' tall breaks forming a triangle. From the base of the tree along the ground to the tip is 24'(lets call this (b)leg). I know the (a)leg + the hypotenuse is 36' but how can i find the new value for the (a)leg using the pythagorean theorem. I solved it by just plugging in numbers but that took forever. Sure could use your help, confused.
Click here to see answer by Mathtut(3670) |
Question 179621: Help! I can work all of the other problems just fine, but this one is really throwing me off...
Given a right triangle...
leg a is unknown
leg b is "x"
and the hypotenuse is "2x" ...
I am trying to find the value of leg a and no matter what, I can't get it.
The teacher provides us with answers and she arrives at the answer of "square root of 3" ... I'm so confused. I don't know how she arrived at her answer. Any help will be appreciated! I'm going crazy trying and trying, erasing over and over again...
Click here to see answer by Mathtut(3670) |
Question 180259: 6) If the sides of a dinning room are 21 feet by 18 feet, what is the length of the diagonal?
7) I have 60 inches of width and have 48 inches of height in my entertainment center. I am going HDTV shopping, what is the biggest diagonal TV that I can get?
** I don't know if i'm in the right category, but thanks a million.**
Click here to see answer by jim_thompson5910(13794) |
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