Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 289181: Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Eight hours later they are 400 miles apart. If the Ship X had traveled 320 miles from the port, how many miles had Ship Y traveled?
Click here to see answer by amey1309(2)

Question 578204: Explain if 2, 3 and 4 cm could be side lengths of a right triangle .
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Question 578254: Two vertical poles, 10 meters high and 15 meters high, stand 12 meters apart. Find the distance between the tops of the two poles.
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Question 580111: a boat has a sail with th measure of 20ft in width and 29ft. in lenght. How tall is the sail?
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Question 581300: the length of the hypotenuse of a 45-45-90 triangle is sqrt (32). what is the length of each of the legs?
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Question 582200: how do you solve s^2+s^2=32^2 thank you sooo much!
Click here to see answer by Alan3354(69443)

Question 582522: A rectangular piece of metal is 15 inches longer that it is wide. Squares with sides 3 inches long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 1938 in^3, what were the original dimensions of the piece of metal?
What is the original width?
What is the original width?
I have tried this question many times and my professor said the answers are 25,40 but no matter what I do I can't get that. Help. Thank you
Click here to see answer by Bill M Wilcox(2)

Question 582174: a plane flying at 10,000 ft spots a hot air balloon in the distance. The balloon is 9000 ft above the ground. The angle of depression from the plane to the balloon is 30˚. Find the distance from the plane to the balloon. Round your answer to the nearest foot
Click here to see answer by KMST(5328)

Question 583188: how do you when you're trying to find C or when you're finding A or B?
Click here to see answer by solver91311(24713)

Question 584050: A rectangular piece of canvas measuring 6m by 2m is folded in half to form two sides of a tent. The length of each vertical support pole is 1.2m. What is the width of the front of the tent, to the nearest tenth of a metre?
Click here to see answer by josmiceli(19441)

Question 584169: Determine whether each triangle with sides of given lengths is a right angle
Problem=
21 ft, 28 ft, 35, ft
Click here to see answer by mananth(16946)

Question 584390: Hi, I'm confused on how to find the simplest radical form. I know the process of how to get to the number which you have to simplify, but I do not know how to simplify.
Find the answer of x. Leave your answer in simpleest radical form.
This is what I've gotten so far:

a^2+b^2=c^2 ------> 5^2+4^2=c^2 ----->25+16=c^2 ----> sqrt(c^2)= sqrt(41)
Now, how do I put that "sqrt(c^2)= sqrt(41)" into simplest radical form? It'd really help! Thank you.
Click here to see answer by KMST(5328)

Question 584716: i have a right angled triangle, a=y b=4y and c=20.6 i need to find y, i keep coming up with the wrong answer, i start with sqrt4*y^2+y^2=20.6 i keep comming up with y =9.21 but that doesent work for 4y? any help is appreciated

Click here to see answer by Schaman_Dempster(26)

Question 584975: A 20 foot ladder leans against a building. The ladder reaches 17 feet up the building. How far is the bottom of the ladder from the base of the building? Round answer to the nearest tenth of a foot. Use the Pythagorean Theorem.
Click here to see answer by Alan3354(69443)

Question 585153: Use Phythagorean theorem to find x. The diagram is a right angle triange with leg a =x+3, leg b=x+10 and Hypotenuse =x+11.
All i know is a^2+b^2=c^2. I have no idea how to work it. Please help. Thank you in advance
Click here to see answer by Edwin McCravy(20054)

Question 585233: solve for the length of the unknown side in the following right triangle. (side AC is the hypotenuse)
AB = 8
AC=10
Click here to see answer by sofiyac(983)

Question 585523: A 20 foot ladder leans against a building. The ladder reaches 17 feet up the building. How far is the bottom of the ladder from the base of the building? Round answer to the nearest tenth of a foot. Use the Pythagorean Theorem.
Can you show all of the work
Click here to see answer by Alan3354(69443)

Question 585589: a set of pythagoerm triples that do not come from the multiples 3,4 and 5
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Question 586329: can you have a triangle with legs of lengths 4 and 5 and hypotenuse of length 6?
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Question 586711: what is the value of a is b=9 and c=40
(Please do remember that c is always the biggest side on a triangle since it is perpendicular to the highest angle.)
Click here to see answer by Sudoku19(4)

Question 587689: is it possible to draw a right triangle with sides 8, 15 and 17
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Question 586899: explain in a paragraph how, given the lengths of three sides of a triangle, you can determine whether the triangle is right triangle or not.
Click here to see answer by KMST(5328)

Question 586647: A smaller commuter airline flies to three cities whose locations form a vertices of a right triangle. The total flight distance( from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are furthest apart. Find the other two distances between cities.....
Click here to see answer by zoomkaboom4(62)

Question 586263: if one side of a right triangle equal one foot and the hypotenuse equal 15inches, then what is the lengh of the other leg in inches?
Click here to see answer by zoomkaboom4(62)

Question 589995: Find the length of the hypotenuse of a right triangle with legs of lengths 6 and 8. If necessary, round your answer to two decimal places.

Click here to see answer by Alan3354(69443)

Question 590109: its a right triangle side A=X, side B=12 and the hypotenuse=6+X and im supposed to solve for x but when i set it up the x's keep cancelling out and equaling zero, how do i solve this, please help
Click here to see answer by mathhelp@(10)

Question 590301: A right triangle has a hypotenuse of length 17 and a leg of length 11. What is the area of the triangle?
Click here to see answer by Alan3354(69443)

Question 590402: abc is a right angled triangle
ab= (3x+4)cm
bc= (x+2) cm
ac= (2x+6) cm
use pyhtagoras theorem to write down an equation in x
Click here to see answer by solver91311(24713)

Question 590997: The length of the hypotenuse in a right triangle is 82 cm and the length of one leg is 70 cm.
What is the length of the other leg rounded to one decimal place?
Click here to see answer by Alan3354(69443)

Question 591020: Meteorlogist Paul Windward and geologist Rhaina Stone are rushing to a paleontology conference in Pecos Gulch. Paul lifts off in his balloon at noon from Lost Wages, heading east from Pecos Gulch Conference Center. With the wind blowing west to east, he averages a land speed of 30 m/hr. This will allow him to arrive in 4 hours, just as the conference begins. Meanwhile, Rhaina is 160 km north of Lost Wages. At the moment of Pual's lift off, Rhaina hops into an off-roading vehicle and heads directly for the conference center. At what average speed must she travel to arrive at the same time Paul does?
Click here to see answer by stanbon(75887)

Question 591058: sideA=20
sideB=12
so what is the hypotinuse
Click here to see answer by Alan3354(69443)

Question 591289: what is the area of a triangle with a base of 20.3 m and a height of 5.6 m?

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Question 591288: what is the area of a triangle with a base of 20.3 m and a height of 506 m?

Click here to see answer by jim_thompson5910(35256)

Question 591295: the measure of the sides of a right triangle are x+9, x+2 and x+10. Find the value of x.
I know that we have to use the pathagorean theorm but how do you know the hypotenuse?
-Thank You
Click here to see answer by scott8148(6628)

Question 591657: I have a 30-60-90 triangle with a hypotenuse of 16 and a short side of 8. How can I use the Pythagorean Theorem to get the third side?
Click here to see answer by Alan3354(69443)

Question 591881: " A small distance commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are furthest apart. Find the other two distances between cities. "
That is the math problem. So far all I could tell was that the miles from city B to city C and from city C to city A is 800 miles. The figure is a right triangle in which side BA is the longest, AC is the middle one in length and BC is the shortest side. Please help, I have an exam tomorrow and I do not understand how to solve this excercise.
Thank you
Click here to see answer by scott8148(6628)

Question 591942: Question: Which number is not the length of the hypotenuse of a right triangle with integral sides? 34, 89, 233, or 377 Why is that the answer?
9 and 25 make 34
25 and 64 make 89
64 and 169 make 233
4 different integer combinations make 377

Click here to see answer by Alan3354(69443)

Question 592194: There is a storm coming so Andrew would like to secure his door by putting a diagonal across it. The diagonal will be 1 foot longer on both ends. He knows the door is 3 feet by 7 feet. How long should the diagonal be?
Click here to see answer by vi123(1)

Question 592302: Match the length of a right triangle's legs with the exact length of its hypotenuse.

Click here to see answer by solver91311(24713)

Question 592361: Question: Determine which set of numbers could represent the sides of a right triangle.
Answer Choices: [A] 13,35,36 [B] 12,34,37 [C] 12,35,37 [D] 13,34,36
Question: Which set of values could be side lengths of a right triangle?
Answer Choices: [A] 8,40,42 [B] 9,39,41 [C] 8,39,40 [D] 9,40,41
Click here to see answer by solver91311(24713)

Question 593012: James bought a new entertainment center and is looking to buy a new tv to fit it.If the measurements of the space for the tv are60in by 80in what is the largest tv James can buy?
Click here to see answer by rfer(16322)

Question 593973: I am lost on how to get Pythagorean Triplets. Please help.
Click here to see answer by Edwin McCravy(20054)

Question 594868: find the measure of a 52-inch television to the nearest centimeter
Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420