Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 790563: If you're seeking a more comfortable homework help environment, visit the Homework Clinic.
If a number is subtracted from 73, the principal square root of this difference is equal to the number decreased by 1. Find the numbers

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Question 790916: The Hypotenuse of the right triangle is 15 centimeters long. One leg is 9 centimeters long. How long is the other leg?
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Question 791437: Please help me
The with is a rectangle is 5m and the length of its diagonal is 13 cm
How long is the other side of the rec.


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Question 793308: One side of a right triangle is 12 cm long. The hypotenuse is 3 cm more than twice as long as the other side. What are the dimensions of the triangle ?
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Question 793337: A right triangle has a hypotenuse of 7 centimeters and one of its legs are 4 centimeters. What's the length of the other leg?
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Question 793656: Two vertical poles of lengths 9 feet and 12 feet stand 13 feet apart. A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. Where should this point be located to use 25 feet of cable?
The points should be located ___ feet from the smaller pole to used 25 feet of cable.
(Round to three decimal places as needed.)

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Question 795212: There is a circular pond and a foot path runs along the boundary. A man walks around it exactly one, keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond . what is the diameter of the pond?..PLEASE GIVE ME ITS SOLUTION
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Question 795518: IN AN EQUILATERAL TRIANGLE ABC,AN IS PERPENDICULAR TO BC. PROVE THAT (AN)SQURE=3(BN)SQUARE.
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Question 795607: How long is the line that joins the two points A(–3, –7) and B(4, 6)?
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Question 796343: A triangle in the coordinate plane has verteces (1,2), (7,10), (26.2,4.4). Is this a right triangle? Why or why not? Find it's perimeter and it's area. Leg1=3.2cm Leg2=7.7cm Hypotenuse=8.3cm
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Question 797192: the hypotenuse of a right triangle is 1 inch longer than the longer leg. the shorter leg is 7 inches shorter than the longer leg. find the length of the hypotenuse.
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Question 797212: The leg of a right triangle is 8. The hypotenuse is 15. Find the length of the third side to the nearest tenth, if necessary
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Question 798612: A=5 Hypotenuse=12
What does b equal?

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Question 799048: How do you use the pythagorean theroem to determine if a triangle with the side length 15 cm,12 cm and 20 cm is a right angled triangle?
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Question 799184: A 50 foot tower is to be fastened by five guy wires attached to the top of the tower and to the ground at position 25 feet from its base. How much wire is needed? round to the nearest tenth.
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Question 799184: A 50 foot tower is to be fastened by five guy wires attached to the top of the tower and to the ground at position 25 feet from its base. How much wire is needed? round to the nearest tenth.
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Question 799763: How do you work out pythagoras theorem
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Question 800215: the flower garden has the shape of a right triangle. 17ft of a perennial border forms the hypotenuse of the triangle, and one leg is 7 ft longer than the other leg. find the length of the legs
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Question 800474: A boat leaves X and travels east for 10km. It then sails 10km south to Y. Find the distance and bearing from X from Y
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Question 800469: Which of the following measurements can be the lengths of the sides of a right triangle?
A) 13,14,15 B) 7,24,25 C)5,6,7 D)4,5,6 E) 1,2,3

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Question 800469: Which of the following measurements can be the lengths of the sides of a right triangle?
A) 13,14,15 B) 7,24,25 C)5,6,7 D)4,5,6 E) 1,2,3

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Question 801682: The base of an isosceles triangle is 8 m and the legs are 6m. What's is the hight?
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Question 802433: A sellsman selling windows says that a window frame that is 8 feet long and 6.5 feet wide is rectangular. he also say that it has a diagonal length of 12 feet. Daniella thinks that the sellsman is wrong in saying the window is rectangular. who is right and why
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Question 805883: A square has an area of 81 square centimeters. what is the length of a diagonal of the square?
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Question 805914: A ladder of length 26ft is placed against a building in such a way that the distance from the top of the ladder to the ground is 14ft more than the distance from the bottom of the ladder to the building. Find both distances.
i thought i would use a^2 + b^2=c^2 the pythagoreum theory
a^2 + 14ft^2 =26ft^2
but the problem says 14 ft more so i wasn't sure if that equation was correct.

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Question 806069: "Find the area of an equilateral triangle whose sides are 4 units long."
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Question 806463: Hello all, I have tried to solve this problem but have had no such luck and have not found anything similar to replicate the problem, so any and all help would be appreciated! Not really sure how the Pythagorean theorem is supposed to solve this??
I was told that I need to draw a diagram and use the Pythagorean theorem to solve this problem:
Prairie Dawn is flying a kite on 65 feet of string. Its vertical distance from the ground is 10 feet less than twice its horizontal distance from Prairie Dawn. Assuming that the string is being held at ground level, find its horizontal distance from Prairie Dawn and its vertical distance from the ground.

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Question 806463: Hello all, I have tried to solve this problem but have had no such luck and have not found anything similar to replicate the problem, so any and all help would be appreciated! Not really sure how the Pythagorean theorem is supposed to solve this??
I was told that I need to draw a diagram and use the Pythagorean theorem to solve this problem:
Prairie Dawn is flying a kite on 65 feet of string. Its vertical distance from the ground is 10 feet less than twice its horizontal distance from Prairie Dawn. Assuming that the string is being held at ground level, find its horizontal distance from Prairie Dawn and its vertical distance from the ground.

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Question 806473: Prairie Dawn is flying a kite on 65 feet of string. Its vertical distance from the ground is 10 feet less than twice its horizontal distance from Prairie Dawn. Assuming that the string is being held at ground level, find its horizontal distance from Prairie Dawn and its vertical distance from the ground.

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Question 806580: The hypotenuse of a right triangle is 1 in longer than the longer leg. The shorter leg measures 7 in less than the longer leg. Find the measure of the longer leg of the triangle.
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Question 806831: I understand the basics of Pythagorean theorem. Right now, I am solving for the unknown side. lets just say were solving for the hypotoneuse.
7^2+9^2 =c^2
49+81=c^2
c= sqre rt of 130. I just don't understand how get the answer 11.402.
2 and 65 goes into 130 and then the square root of 65 is 5 and 13... I just don't undersant how we get 11.402.

THANK YOU! I am going to be taking a test where I cant use a calculator so I need to solve this on paper or in my head.

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Question 807157: Solving for a right triangle's hypotenuse using the pythagorean theorem.
leg A= 12 leg B=16. hypotenuse= X
The answer i came up with was the square root of 400. which is 20. it doesnt seem correct could you help?

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Question 808496: A rectangle has base length x+3, altitude length x+1, and diagonals of length 2x each. What are the lengths of its base, altitude, and diagonals?
I don't really know how I'm supposed to draw the rectangle, but what I've done is draw it short and long and put my x+3 across the bottom, my two diagonals going across, and then my altitude going up to where the diagonals intersect. Then I've tried using the usual a^2+b^2=c^2 I don't know if the diagonal I'm supposed to be using would just be x instead of 2x, since they're being cut in half by each other, but using 2x, I get x^2+8x+10=x^2 and using x I get 2x^2+8x+10=x^2, but neither of those give me the correct answer.

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Question 809043: The diameter of the cone in this hat is 18cm. Its slant height, s cm, is 21 cm. What is the height of the hat?

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Question 809364: Find the length of the side labeled a.
c= 25
b= 20

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Question 812040: If a right triangle has a leg length of 9 meters and a hypotenuse of 21 meters, what is the length of the other leg using radicals?
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Question 814698: a fence is built around the area in a trapezoid the demisonsare7m 4m 10 m how much did it it cost to build the fence if the fencing sold for9.69 per meter
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Question 814781: Find the length of the hypontenuse of a right-angled triangle whose sides are x cm, (X + 1) cm and (X + 3) cm
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Question 814541: Given: segment AB is congruent to segment DC
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Question 815362: I have a triangle that only has the C value. How would you work out the A and B? C is 5
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Question 815494: the hypotenuse of a right angled triangle measures13mm and the other side measures 5mm . determine the area of the triangle
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Question 815496: determine the volume of a sphere with a radius of 21cm.
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Question 815500: the area of a right angled triangle of which the base is 13 times the height is 216cm squred. calculate the base of the triangle.
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Question 815668: I'm sorry but I had to tell you that almost all of your
answers to Pythagorean thorem are unsimplified so I love
this website but if you don't fix it I will tell my teacher that it is an unreliable resource.

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Question 815666: what is the pythagorean theorem of a triangle that has leg B #6 and leg A #4
I got that the answer was 52 but what is it simplified?

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