Questions on Geometry: Pythagorean theorem answered by real tutors!

Tutors Answer Your Questions about Pythagorean-theorem (FREE)

Question 1798: A vertical pole is to be supported by a wire that is 26 feet long and anchored 24 feet from the base of the pole. How far up the pole should the wire be attached?
Click here to see answer by longjonsilver(2297)

Question 5017: If m=(r-c)/r what is r equal to? or what is c equal to?
Any help would be appericated.
Thanks
Tom
Click here to see answer by longjonsilver(2297)

Question 5164: What is (the square root of three times four)(times the square root of three times four)
Matt
Click here to see answer by guapa(62)

Question 5681: I have a photographic image on a 10.5-centimeter by 8.2-centimeter background. The overall area of the background is to be reduced to 80% of its original area by cutting off equal strips on all four sides. What is the width of the strip that is cut from each side? The answer is 0.49 cen, what I need to know is how to set the problem up. Thanks!!!!
Click here to see answer by prince_abubu(198)

Question 5769: I am having a hard time with a question can someone help me ? My question is this In a right triangle, one leg measures 4 inches and the other leg measures 6 inches. What is the length of the hypotenuse? Please help me?
Click here to see answer by prince_abubu(198)

Question 5592: My question is:
Find the length of the diagonal of a rectangle whose length is 8m and width is 5m.
thanks

Click here to see answer by arunpaul(104)

Question 7967: How would you solve this problem? The perimeter of the cover of an address book is 14 inches, and the diagonal measures 5 inches. What are the length and width of the cover?
Click here to see answer by arunpaul(104)

Question 9257: A CYLINDER HAS A VOLUME OF 235.5 CUBIC INCHES. IF THE VALUE OF PI (3.14) USED TO CALCULATE THE VOLUME OF THE CYLINDER IS 3.14, WHAT ARE THE RADIUS AND HEIGHT OF THE CYLINDER IN INCHES
Click here to see answer by rapaljer(4671)

Question 9818: I would like to know how you would find a,b,c, on the special relationships.Like for ex. 8(times square root 3), 24, and 16( times square root 3). How would you find the answer 24. Your help would be greatly appreciated.
Click here to see answer by Earlsdon(6294)

Question 12090: what is the height of an equilateral triangle whose sides are each 18cm long?
Click here to see answer by Pieter(35)

Question 12093: if you have a triangle the smallest side = 3cm and the longest side =10cm was does x =
Click here to see answer by Pieter(35)

Question 12407: Dear Tutor,
Could you please help me with this problem?
I'm not sure if I selected the right topic.
It says" Solve the system using any algebraic method.
(here is the problem.)
x + 4y + z = 12
y - 3z = -7
z = 3
Thank you so much for helping me.

Truly,
Kat
Click here to see answer by slksil001(7)

Question 17137: Ms. Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle without using paper and pencil. What is your answer?
Click here to see answer by venugopalramana(3286)

Question 20141: a vertical wall 18 feet high casts a shadow that is 6 feet wide. If Joe is 5'3' tall, how far away from the wall can he stand and still be entirely in the shade?
Click here to see answer by kapilsinghi(68)

Question 12192: Retangle diagonal length is 50ft. Perimeter is 140 feet. What are the dimensions?
Click here to see answer by kapilsinghi(68)

Question 21185: solve for z in the right triangle below
c=a+b
z=24+18
Click here to see answer by lola_fish99(13)

Question 21219: IF ONE SIDE OFA RIGHT TRAINGLE IS 12 AND ITS HYPOTHENUSE IS 13, WHAT IS THE LENTH OF THE OTHER SIDE?
HELP!!!
Click here to see answer by aranajay(3)

Question 21218: find the hypotenuse of a right triangle with sides 5 inches and 10 inches
HELP!!!
Click here to see answer by aranajay(3)

Question 22361: I have a problem that shows a right triangle with the hypotenuse and base bisected by a vertical line. The length of the base is x+36 and the length of the hypotinuse is y+34. The height is 25. (In other words, the larger right triangle has a smaller right triangle with a height of 15 inside it. I know this is a proportion question but can't figure out how to set it up. Thank you for your help....
Click here to see answer by MORUPHOSUOLALE(24)

Question 23169: I an using the Pythagorean theorem to find the horizontal side of a right triangle. The hypothenuse is 1 and the vertical side is 0.5. I know that the answer is b= sqrt 1^2-0.5^2 and I think the answer is the sqrt of 3 divided by 2. However, I do not know WHY the sqrt of 3 divided by 2 is the answer. I would really appreciate if someone could explain the process of getting the answer.
Click here to see answer by stanbon(75887)

Question 25038: I am so lost over this math, I need help with these questions ASAP...I am so lost
4) A right triangle is a triangle with one angle measuring 90�. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90� angle). Find the hypotenuse when the other 2 sides� measurements are 3 feet and 4 feet.
Answer:
Show work in this space

5) Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?
Answer:
Show work in this space.

Click here to see answer by Paul(988)

Question 25756: In a diagram of a large quadrilateral, AD is parallel to BC, BD is perpendicular to DC, and AE is perpendicular to BD.
AB is 41 cm, AD is 50 cm and BF is 9 cm.
What is the area of the small quadrilateral, DCEF?
Click here to see answer by venugopalramana(3286)

Question 28084: When the question says Determine whether a triangle with the given side lengths is a right angle I just don't get it. They will give numbers like 8 m, 15 m, 17 m. And I don't know how to make sure it's a right angle
Click here to see answer by longjonsilver(2297)

Question 28555: A right triangle is a triangle with one angle measuring 90 degrees. In a right triangle, the sides are related by Pythagorean Theorem, c to 2nd power + a to 2nd power + b to 2nd power, where c is the hypotenuse (the side opposite the 90 degree angle). Find the hypotenuse when the other 2 sides' measurements are 6 feet and 8 feet.
Click here to see answer by stanbon(75887)

Question 29456: How do you get the slop of a line?
Click here to see answer by Nate(3500)

Question 29526: what is the square root of 29
Click here to see answer by stanbon(75887)

Question 29526: what is the square root of 29
Click here to see answer by Kalmetam(43)

Question 29766: I am really having trouble getting the pythagorean theorem to find a height of a triangle. One of the sides is thirteen and the base is 12. After that they wanted me to use that to fine the area. Please help me.
Click here to see answer by askmemath(368)

Question 29865: I'm trying to generate Penrose tiling in Photoshop. To get my rhomb shapes accurate I need to know the following.
I skew a square of 400 units by 400 units to form a parallelogram with angles 72, 108, 72, 108. I know the angles I'm aiming for but the only input data in Photoshop is the distance I push the square along the X axis.
As far as I can tell I could use Pythagoras theorem to calculate the length a by knowing that a right angle triangle is formed with an angle of 18 degrees as I push the square to form the angle of 72 degrees.
I think I calculated that the length of the hypotenuse would have to be sqrt of 400squared by 400 squared ie 566.
I pretty much failed maths at school and it's taken me hours to get this far. I'm stumped when I start reading about finding the length of a leg based on the angle when I didn't even know what cosecant was.
I'd like to understand this, not just have the answer, because I'm sure that I will be needing to redo the calculation to make my 'thin rhomb' and if I continue an interest in tesselation art this is going to be a regular need.
Many thanks if you can help.
Click here to see answer by Earlsdon(6294)

Question 30818: Hi,
I have a right triangle with one side 17" longer than the other. The hypotenuse is 25". How long are the other two sides? I know the formula but I don't remember how to square each side and then solve the problem. Thanks. Jo
Click here to see answer by Paul(988)

Question 30797: I believe that the product of two even numbers is always even. EX. 2x4=8 12x20=240 16x32=512 100x200=20,000. Is this inductive or deductive reasoning?
Click here to see answer by Nate(3500)

Question 30914: The streets in a town are arranged in square blocks. Brad leaves his house and rollerblades 4 blocks south and 5 blocks west to the athletic field. He then rollerblades 2 blocks south and 5 blocks east to the library. How far is the library from Brad's home?
I'm not sure how to begin. I struggle with word problems. Thanks for your help.
Click here to see answer by Nate(3500)

Question 31464: Hello, I am not quite sure how to approach this problem:
when the lower end of a ladder that had been resting flat against a wall was pulled out 4 feet, the top of the ladder descended one-fifth the length of the ladder. find the length of the ladder.
Thanks so much, really appreciate it.
Click here to see answer by blubunny01(20)

Question 31781: HELP!! I am having trouble setting this up.
The lengths of the sides of a right triangle are such that the shortest side is 7 in. shorter than the middle side, while the longest side (the hypotenuse) is 1 in. longer than the middle side. Find the lengths of the sides.
a=x-7
b=x
c=x+1 ???
Click here to see answer by stanbon(75887)

Question 32038: the length of a rectangle is 1 cm longer than its width. if the diagonal of the rectangle is 4c, what are the demensions (l and w) of the rectangle?
Click here to see answer by venugopalramana(3286)

Question 32027: For a right triangle that has a and b and hypotenuse c, find th lenght of the side not given here.
a=10
b=24
Click here to see answer by mbarugel(146)

Question 32028: Solve this equation.
a squared + 15 squared = 17 squared
Click here to see answer by mukhopadhyay(490)

Question 32025: For a right triangle that has legs a and b and hypotenuse c, find the length of the side not given here.
a = square root 5
b = square root 3
Click here to see answer by mukhopadhyay(490)

Question 32029: Find side b if side a = 4.5 inches and side c = 10 inches.
Click here to see answer by Cintchr(481)

Question 33074: a ladder is placed 10 feet from the building. how long is, to the nearest tenth of a foot, is the ladder, if it reaches 30 feet up the building?
Click here to see answer by checkley71(8403)

Question 33365: A weather ballon rises at the rate of 8 feet per second at a time when the wind is blowing at 9.44 mph. After 15 minutes, how far away in feet from the launch point is the ballon ? (Round to the nearest hundred feet)
Click here to see answer by Fermat(136)

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