Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 132521: If the area of a square is 169 square centimeters, what is the length of the diagnal?

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Question 133702: Suppose an outfielder catches the ball on the third base line about 40 feet behind third base. About how far would the outfielder have to throw the ball to first base?

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Question 133983: my equation has a trianglewith the hypotenuse at 10 centimeters the adjacent side is 3x centimeters and my opposite is x centimeters. I know that the pythagoreum theroreum is A squared + B squared = C squared and I got to the point where X centimeters squared + 3X centimeters squared = 100 centimeters could you help me please?
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Question 133986: Could someone help me please? My problem is A%5E2+%2B+16%5E2=3x%5E2 I got toa%5E2+%2B+256+=+3x%5E2 i would appreciate it if you could help me on this.
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Question 134838: A 6m pole is to be stabilized by tying 6.5m of steel cable from a stake in the ground to a point 1m from the top of the polr. If 1, of cable is to be used for tying purposes, how far from the base of the pole should the stake be placed?
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Question 134837: A cordless telephone will work if it is within 50m of its base. If, while oyu are talking on the ohine, you walk 15m away from the base in a southerly direction, then, turn to face west and walk 42m,will the phone still work?
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Question 134916: a standard baseball diamond is a square 90 ft. on a side. find the distance of a throw made from the catcher approximately 3 ft. behind home plate in an attempt to throw out a runner trying to steal second base
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Question 135114: The side of a rhombus is 10. One diagonal is 12. Find the other diagonal.
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Question 135379: given a right triangle, use the pythagorean theorem to find a when c=85 and b = 53
i tried this a^2 + b^2 = c^2
a^2+53^2 = 85^2
a^2 + 2809=7225
-2809=-2809
a^2=4416

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Question 135379: given a right triangle, use the pythagorean theorem to find a when c=85 and b = 53
i tried this a^2 + b^2 = c^2
a^2+53^2 = 85^2
a^2 + 2809=7225
-2809=-2809
a^2=4416

Click here to see answer by MORUPHOSUOLALE(24) About Me 

Question 135699: i have to find out when i answer this question is i have to round it to the nearest ten. heres the question if a=4 anb b=4 wat is c=? and one more question if b=7 and c=10 wat does a=? thank you for answering my questions.
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Question 135888: Please help me solve this problem. The problem is that there are two ladder leaned up against a wall. One is 20m and the other is 15m. They both reach the same height up the wall. The bottom of the 20m ladder is 7m farther from the building than the 15m ladder.
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Question 137210: I have a problem with a question. The question is- One of the angles of a triangle measures 45 degrees, another angle of the triangle measures 72 degrees. What is the measure of the third angle of the triangle?
HELP! (a.s.a.p. please =])

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Question 138261: The lenghts of the hypotenuse and one leg of a right triangle are given. Help me find the perimeter and area of the triangle.
Hypotenuse: 26 cm;leg: 24 cm

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Question 139343: Ok, I have a right triangle with an altitude of 8, the shorter side of the hypotenuse divided by the altitude is 4 and the longer side is represented by a. The shortest side of the triangle is 8.9 and the last side is represented by b. I need help finding a and b.
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Question 139921: My problem is, A= Square root 75. B = Square root 6. How do I put in square roots in the site's calculator, nd if not, what's the answer to the problem?
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Question 140716: My problem is C squared equals 8x squared(substituted for A) plus 15x squared(once again substituted)
Since the question is an odd one, i got my answer of 23x squared but the book got something different...
The book got 17x
i do not understand how they got that.

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Question 142488: If (x,12,13) is a Pythagoreantriple, then x =
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Question 142488: If (x,12,13) is a Pythagoreantriple, then x =
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Question 143241: find the measure of b if a = 10 and c = 16
I have figured it out as far as I can, but I am now stuck and I don't know what to do, so if you could put down every single step I would appreciate it!!!

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Question 143529: I just want to make sure I have the right answer, if I don't could you please explain the steps to me.
Problem---You are given a right triangle with the following lengths. Leg 1 = 2, Leg 2 = x, Hypotenuse = 8. Use the Pythagorean Theorem to find x. Make sure you include an equation.
Here is my answer
c^2 - a^2 = b^2
8^2 - 2^2 =
sqrt64 - sqrt4 =
sqrt60 =
Sqrt4 X 15 =
2 sqrt15 = X
Answer is 2 sqrt15 = x

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Question 144665: Triangles HIJ and MNO are similar. The length of the sides of HIJ are 111, 96, and 108 centimeters. The length of the smallest side of MNO is 288 centimeters, what is the length of the longest side on MNO?
manual responses are 315 cm , 324 cm, 333cm 945cm. I don't even know where to start with only one side of MNO given.

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Question 145066: Find the length of the altitude of an equilateral triangle whose side measures 6 feet.
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Question 145067: Find the length of a side of an equilateral triangle whose altitude is 17.32 cm.
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Question 145064: What is the length of a side of a square whose diagonal measures 4.24 ft?
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Question 145065: If the length of a side of a square ABCD is 5, find the length of AC

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Question 145408: Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places. I could not find a triangle to input into my question and I could not copy and paste from another program. The bottom is about on inch long with an 8 below the left side is straight up and down about 1/2 inch with a 6 beside with a small box in the corner. the right is the length of the bottom only coming down to meet the bottom with the letter c on top.
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Question 145431: The sum of the lengths of the diagonals of a rhombus of side 61 cm is 142 cm. What is (a) the difference in the lengths of the diagonals, (b) the area of the rhombus?
i can't get the solution out of it as i think i do not have enough informantion so i do not know how to solve it.

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Question 145831: You are to run a conduit diagonally across a parking lot that is 200 ft long and 60 ft wide.How much conduit will you need to complete this run? Round your answer to tenths.
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Question 145829: Solve for the unknown side in the following right triangle. (side AC is the hypotenuse.) Round your answer to two places, where applicable.Side AB ? Side BC12 Side AC 19
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Question 145818: An overhead wire stretches from the service drop that is 20ft from the ground,on a building to an insulator on a pole 35 ft from the ground. How long is the wire if the pole and building are 48 ft apart?(Assume ground is level.)Round answer to tenths.
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Question 146085: how, in simple terms, can we prove the Pythagorean Theorem?
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Question 147189: I need an explanation of why the Pythatgorean theorem can be used only for right triangles that an 8th grader can understand. What I know is that the Pythagorean Theorem is a special case of the Law of Cosines where the Cos(c) is equal to zero which only happens when c=90 degrees. But I don't think an 8th grader has had the law of cosines yet. I'd really appreciate some help with this. Thanks.
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Question 147189: I need an explanation of why the Pythatgorean theorem can be used only for right triangles that an 8th grader can understand. What I know is that the Pythagorean Theorem is a special case of the Law of Cosines where the Cos(c) is equal to zero which only happens when c=90 degrees. But I don't think an 8th grader has had the law of cosines yet. I'd really appreciate some help with this. Thanks.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 146958: Diagnal brace. The width of a retangular gate is 2 meters (m) larger than its heiht. The diagonal brace measures (Square root) 6 m. Find the width and height.
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Question 147605: The hypotenuse of a right triangle is 2.5 units long. The longer leg is 1.8 units longer than the shorter leg. Find the lengths of the sides of the triangle.
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Question 148438: Let cos beta =a .Find the expression for cos 2beta and sin 2beta in terms of a
and hence confirm that - cos(square)2beta + sin(square)2beta = 1

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Question 148741: Hypotenuse of right angle is 60 cm. if the leg is five cm longer than the other leg, what is lenght of the legs.
I know the formula is c^2= a^2 + b^2
60^2= x^2 + (x+5)^2
60^2= x^2 + x^2 +10x +25
3600= 2x^2 + 10x + 25
Now what are we solving 4 x?

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Question 148953: Greg is making a bike ramp in the shape of a right triangle. The base of the ramp is 4 inches more than twice its height, and the length of the incline is 4 inches less than three times its height. How high is the ramp? My question is in setting up the problem-do I have 2x+4 and 3x-4 for the formula c2=a2 + b2?
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Question 150498: Are there any other shapes that can be formed of the side of the side of the triangle besides squares that can complete the formula for example a hexagon? I have use a circle and that works if you use the length of the sides as the diameters. I think this is because of the square in the r2 is essentially the same as Pythagoras.
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Question 150635: the length of a leg of a right triangle is two times the length of the other, and the hypotenuse is 25.What is the length of the longer leg?

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Question 155822: how will you factor 2x^2-178x-14280=0
(2x ) (x ) << I cant find the factors

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Question 156438: The length of rectangle is 3 cm more than 3 times the width and 1 cm less than the length of a
diagonal. Find the length of the rectangle

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Question 157689: A= 4B
B= ?
C= B-20
What is B equal to.

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Question 160202: how do i use the Pythagorean theorem to show how the distance formula was derived.
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