Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 936186: an aircraft is vertically above a point which is 10 km west and 15 km north of a control tower . if the aircraft is 4000m above the ground ,how far is it from the control tower ?
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Question 936547: Televisions are advertised by the length of their diagonals. If a 42 inch measures 18 inches high, how wide is the television?
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Question 936644: An isosceles triangle are 66 degrees, 66 degrees, and 48 degrees at the center of the circle. If the shortest side of the triangle is 8.4 cm, find the length of one of the two equal sides

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Question 936720: A right triangle with legs of 7 inches and 24 inches and a hypotenuse of 25 inches
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Question 936966: Two poles 15m and 30m high reaches a wall 15m high.How far is the foot of the ladder of the wall.

























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Question 937368: the length of one leg of a right triangle is 40 inches and the length of the hypotenuse Is 41 inches. Find the length of the other leg.
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Question 937374: Determine whether the given lengths can be sides of a right triangle: 9FT,15FT,12FT.Yes or No
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Question 937374: Determine whether the given lengths can be sides of a right triangle: 9FT,15FT,12FT.Yes or No
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Question 937369: what is the length of the hypotenuse of a right triangle with legs of lengths of lengths 12ft and 16ft.
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Question 937372: Determine whether the given lengths can be sides of a right triangle: 5cm,6cm,8cm. Yes or No
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Question 937370: A 13 foot ladder is positioned against a wall so that the base of the ladder is 5 feet from the wall. How high is the top of the ladder above the ground?
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Question 937768: I do my home work on khanacademy.org and I am doing Pythagorean Theorem. It keeps giving me problems that show a right triangle with two side lengths and I have to find the third length and answer it like this, for example: +2%2Asqrt%2813%29+ It shows me how I got it wrong but I don't understand how they get the answer so they gave me a triangle that has one leg as "a", another as 5, and the hypotenuse as 9. I put it into an equation of +a%5E2+%2B+25+=+81+ and then subtracted 25 from both sides and got +a+=+sqrt+%2856%29+ and then I did the factor tree with the square root of 56 and had 2 * 24 and then from 24 I had 2 * 12 and then from 12 I had 2 * 6 and from 6 I had 3 * 2. After that I put the answer in as +2%2Asqrt+%2824%29+ but it said it was wrong and told me the answer was +2%2A+sqrt%2814%29+ but I don't understand how they got that and also why that is the answer. Please help me understand and thank you for your using your time to help me.
Click here to see answer by MathLover1(20849) About Me 
Question 937768: I do my home work on khanacademy.org and I am doing Pythagorean Theorem. It keeps giving me problems that show a right triangle with two side lengths and I have to find the third length and answer it like this, for example: +2%2Asqrt%2813%29+ It shows me how I got it wrong but I don't understand how they get the answer so they gave me a triangle that has one leg as "a", another as 5, and the hypotenuse as 9. I put it into an equation of +a%5E2+%2B+25+=+81+ and then subtracted 25 from both sides and got +a+=+sqrt+%2856%29+ and then I did the factor tree with the square root of 56 and had 2 * 24 and then from 24 I had 2 * 12 and then from 12 I had 2 * 6 and from 6 I had 3 * 2. After that I put the answer in as +2%2Asqrt+%2824%29+ but it said it was wrong and told me the answer was +2%2A+sqrt%2814%29+ but I don't understand how they got that and also why that is the answer. Please help me understand and thank you for your using your time to help me.
Click here to see answer by MathTherapy(10552) About Me 

Question 937967: A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suitcase?

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Question 938083: Find the length of a diagonal of a rectangle with length 8cm and width 4 cm?
I dont exactly know how to do this and this would be an example to help finish my work?
Please and thank you

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Question 938083: Find the length of a diagonal of a rectangle with length 8cm and width 4 cm?
I dont exactly know how to do this and this would be an example to help finish my work?
Please and thank you

Click here to see answer by Edwin McCravy(20054) About Me 

Question 940947: A builder is building a rectangular box with dimensions of 11 by 25 feet. To ensure that the sides form 90o angles, what should each diagonal measure?

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Question 942020: What is the height of an equilateral triangle with sides that are 12 cm long?
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Question 942364: I have a question on the way to find the sides of an isosceles right triangle with a hypotenuse that is radical 72.
I solved the question
"Determine the perimeter of a square with a diagonal of radical 72 centimeters"
To find the perimeter I musty first find the length of the side of the square
Then I set up and equation and turn a segment the square into a triangle using the diagonal as the hypotenuse
I then simplified the equation


I divided by 2


And I found the square roots


I then found the perimeter by multiplying 4 by the value of x
P=26

Instructor comment: When you draw the diagonal through the square, you create a 45-45-90 triangle, where the hypotenuse is radical 72; then you can use those patterns to find the side length of the square to use to find the perimeter.
Please show me the correct way to solve it

Click here to see answer by josgarithmetic(39617) About Me 
Question 942364: I have a question on the way to find the sides of an isosceles right triangle with a hypotenuse that is radical 72.
I solved the question
"Determine the perimeter of a square with a diagonal of radical 72 centimeters"
To find the perimeter I musty first find the length of the side of the square
Then I set up and equation and turn a segment the square into a triangle using the diagonal as the hypotenuse
I then simplified the equation


I divided by 2


And I found the square roots


I then found the perimeter by multiplying 4 by the value of x
P=26

Instructor comment: When you draw the diagonal through the square, you create a 45-45-90 triangle, where the hypotenuse is radical 72; then you can use those patterns to find the side length of the square to use to find the perimeter.
Please show me the correct way to solve it

Click here to see answer by mananth(16946) About Me 
Question 942364: I have a question on the way to find the sides of an isosceles right triangle with a hypotenuse that is radical 72.
I solved the question
"Determine the perimeter of a square with a diagonal of radical 72 centimeters"
To find the perimeter I musty first find the length of the side of the square
Then I set up and equation and turn a segment the square into a triangle using the diagonal as the hypotenuse
I then simplified the equation


I divided by 2


And I found the square roots


I then found the perimeter by multiplying 4 by the value of x
P=26

Instructor comment: When you draw the diagonal through the square, you create a 45-45-90 triangle, where the hypotenuse is radical 72; then you can use those patterns to find the side length of the square to use to find the perimeter.
Please show me the correct way to solve it

Click here to see answer by MathTherapy(10552) About Me 

Question 942497: in a 45-45-90 triangle, one of the legs measures 35 inches. State the length of the other leg and hypotenuse (in simplest radical form, where necessary)
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Question 942495: a right triangle has a hypotenuse that measures 225 inches. One of the legs measures 63 inches. what is the length of the other leg
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Question 943169: If you know that two legs of a right triangle are 6 and 13 units long, what is the triangle's area? If necessary, round your answer to two decimal places.
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Question 943176: If you know that two legs of a right triangle are 10 and 11 units long, what is the triangle's area? If necessary, round your answer to two decimal places.
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Question 943421: The hypotenuse of a right triangle is represented by 2x-3 and one leg is x. The other leg is 12. Find the hypotenuse, perimeter and area of the right triangle.

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Question 943433: hi, would you please help me solve this multiple choice question?:
one leg of a right triangle is twice as long as the other leg. the area of the triangle is 36 square feet. what is the length of the shorter leg? the choices are:
a) 5 ft b) 6 ft c) 7 ft d) 8 ft
i know the answer is 6 ft but i'd like to know how you get this answer. thank you!

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Question 943605: Find the diagonal of a rectangle with side lengths 9 and 6 inches.
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Question 944338: A square corner lot is 50 m long. Calculate, to the nearest tenth of a metre, the distance saved in taking a short cut across the lot.
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Question 945838: If the hypotenuses a square is 6 Cm, what is the length of the side? Show all work
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Question 946204: 1: To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest hundreth of a meter, how many meters would be saved if it were possible to walk through the pond?
21.74
34
53.26
75
Could someone show how this problems works? I have tried
34 squared plus 41 squared equals C squared
1156 plus 1681 equals C squared
2837 equals C squared
C equals 53.26

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Question 946758: Solve the cuboid hypotenuse of 9cm,12cm,20cm
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Question 948502: The diagonal of a square is 42.5 cm . Calculate the perimeter and the area of the square
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Question 948721: The long side of a right triangle is 5.0 m long. if the hypotenuse is three times the length of the short side, find the short side and the hypotenuse of a right triangle. set up and solve a quadratic equation using the Pythagorean formula.
so this what i tried to solve
Pythagorean formula: a^2+b^=c^
I do not know the short side so i used x and 3x for hyp.
Then solve as
(x)^2+(5.0)^2=(3x)^2
x^2+25=9x^2
Now i do not know how to finish solving the equation.

Click here to see answer by josgarithmetic(39617) About Me 
Question 948721: The long side of a right triangle is 5.0 m long. if the hypotenuse is three times the length of the short side, find the short side and the hypotenuse of a right triangle. set up and solve a quadratic equation using the Pythagorean formula.
so this what i tried to solve
Pythagorean formula: a^2+b^=c^
I do not know the short side so i used x and 3x for hyp.
Then solve as
(x)^2+(5.0)^2=(3x)^2
x^2+25=9x^2
Now i do not know how to finish solving the equation.

Click here to see answer by MathTherapy(10552) About Me 

Question 949020: AC=BC and AB=10 sqrt(2). I need to solve for side lengths AC and BC which are equal. The hypotenuse is given which is 10 sqrt(2).
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Question 949069: The diagonal of a square wall is 13 feet. Which measure is closest to the height of the wall?
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Question 949190: If a right triangle has a hypotenuse of 20 units and a leg of 16 units, what is the length of the other leg?

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Question 949162: The area of the square on the hypotenuse of right angled triangle is equal to the sum of the areas of the squares on other two sides.
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Question 949469: in a right triangle the length of the longer leg is 2 centimeters more than twice the length of the shorter leg. the length of the hypotenuse is 8 centimeters more than the length of the shorter leg. find in centimeters the length of the 3 sides of the triangle
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Question 949829: the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)
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Question 949994: The diagram of a right triangle shows 20 as the hypotenuse, 6x as a leg, and 2x as the other leg.
Find x

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Question 950551: I have to solve a problem. My problem is of an equilateral triangle. The sides equal 7ft and the base is 6ft. I have use pythagorean theorem and find the area.
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Question 950551: I have to solve a problem. My problem is of an equilateral triangle. The sides equal 7ft and the base is 6ft. I have use pythagorean theorem and find the area.
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Question 950557: a post 20 ft high cast a shadow 25 ft long. How long a shadow will a man 6 ft tall cast?
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