Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 76174: the lengths of three side of a triangle are given. Determine whether each triangle is a right triangle.
28. a = 5, b = 8, c = 9
30. a = 18, b = 24, c = 30
Click here to see answer by josmiceli(19441)

Question 76179: I need to find three sides of a right triangle by using the pythagorean theorem. The info I have is: leg1: x, leg2: 40-(2x+2), hypotenuse: x+2.
Click here to see answer by ankor@dixie-net.com(22740)

Question 76561: How would you calculate the lengths of the two sides of a right triangle when the lengths of the two sides have a ratio of 16:9 and the length of the hypotenuse is known?
Click here to see answer by checkley75(3666)

Question 76911: Two children are trying to cross a stream. They want to use a log that goes from one bank to the other. If the left bank is 9 feet higher than the right bank and the stream is 12 feet wide, how long must a log be to just barely reach?

Click here to see answer by bucky(2189)

Question 77304: Solve the following word problem.
The hypotenuse of a right triangle is four feet longer than three times the shorter leg. The longer leg is one foot less than the hypotenuse. Find the dimensions of the right triangle.
Click here to see answer by jim_thompson5910(35256)

Question 77583: What is the next term in the pattern? square root of 2952, sqare root of 5248, square root of 8200, square root of 11808, square root of 16072,...
Click here to see answer by Earlsdon(6294)

Question 77730: find the unknown length in each right triangle.
12.5 miles 7.5 miles x
Click here to see answer by checkley75(3666)

Question 77982: I am not sure but I think I need to use this theorem to solve this problem. The problem is:
A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet longer than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?

Click here to see answer by ankor@dixie-net.com(22740)

Question 78634: how do i use the Pythagorean theorem to determine the length of each line segment.
Click here to see answer by tutor_paul(519)

Question 79168: an escalator lifts people to the secomd floor, 25ft above the first floor. the escalator rises at a 30 degree angle. how far does a person travel from the bottom to the top of the escalator?
Click here to see answer by stanbon(75887)

Question 79632: 1. How do you figure the Horizontal and Virtual Velocity in m/s form if the resultant m/s is 30.4 and the angle degree is 38.5?

Click here to see answer by stanbon(75887)

Question 81476: in a right triangle, one leg is 7 more than the other. the hypotenuse is 17. find both legs. thanks.
Click here to see answer by praseenakos@yahoo.com(507)

Question 82917: A 13ft. ladder is leaning against a building. Thhe bottom of the ladder is 5ft from the building. How high is the top of the ladder?
Click here to see answer by checkley75(3666)

Question 83271: A right triangle is a triangle with one angle measuring 90 degrees. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem, c squared = a squared + b squared where c is the length of the hypotenuse (the side opposite the 90 degree angle). Find the length of the hypotenuse when the other two sides' measurements are 3 feet and 4 feet.
Click here to see answer by Mona27(45)

Question 84072: Find the missing side of the triangle. Give your answer as a simplified radical.
"5^2+b^2=10^2"
Click here to see answer by jim_thompson5910(35256)

Question 85290: Find the missing side in the triangle using pythagorean theorem, give answer as a simplified radical
x,2x,15
"Find X"
Click here to see answer by bucky(2189)

Question 85185: Find the length x. Express your answer in simplified radical form.
side 1: 51ft
side 2: 45ft
side 3: x
Help!

Click here to see answer by checkley75(3666)

Question 85405: I've been working on this all day. And i need some assistance. Can someone please help me?
A right triangle has legs of lengths 9 and 12
(a) Its hypotenuse has a length of_______
(b) The altitude to the hypotenuse divides it into segments of lengths___ and ____
(c) The altitude to the hypotenuse has length_____
Click here to see answer by Nate(3500)

Question 75477: hi my name is jessika and i am just leaning how to find segment lengths. i am having a very hard time understanding the process of figureing it out. it is a picture of a triangle that i am looking at okay, then there is a line drawn inside the triangle leaving one half biggger then the other. the smaller half has two different side lengths, one is 12 and the other is the variable C. the bigeger half has only one side length wich is on the same side as the 12, the number is 20. now the other side that has the variable does not tell you the other length but it gives you the complete length of that side of the triangle which it 24. that is the first one if you would like i could e-mail you what it looks like but i will need an e-mail adress to send it to.
thank you and please help i dont understand it and no one else aroud me is able to help, they dont kno how to do it either.
Click here to see answer by stanbon(75887)

Question 85583: how do I find the hypotenuse of a triangle if side c=12 and side b=8?
Click here to see answer by stanbon(75887)

Question 85735: If the given values in a right triangle are Cos A = 1/3 and a=2, find the
hypotenuse c.
Click here to see answer by scianci(186)

Question 85735: If the given values in a right triangle are Cos A = 1/3 and a=2, find the
hypotenuse c.
Click here to see answer by Edwin McCravy(20054)

Question 86097: milicent wants to build a fence around her flower garden, which is shaped like a right triangle, if one leg of the triangle is 6 feet long and the other is 8 feet long,how many feet of fencing will she need to finish the project?
Click here to see answer by bucky(2189)

Question 86259: Would someone please help me with this problem. The directions are to use the Pythagorean theorem to determine the length of each line segment. Where appropriate, round to the nearest hundredth. The points on a graph of the line in question are (1,-1) and (3,2). Thank you.
Click here to see answer by Edwin McCravy(20054)

Question 86363: CAN SOMEONE HELP ME PLEASE this problem is confusing me. i don't get how to do it.
triangle RST has vertices R(3,2),S(-1,6), and T(-5,-6).
Use the Pythagorean Theorem to show that triangle RST is a right triangle
Click here to see answer by praseenakos@yahoo.com(507)

Question 86750: Would someone help me please? I need to find the length x of a triangle with the sides measuring 20cm (left side), x (right side), and 15cm (bottom).Thank You.
Click here to see answer by Flake(45)

Question 86755: Could someone please explain to me how to find an answer using a calculator to solve this problem?
Use a calculator to approximte 77^ to the nearest hundredth. My answer choices are 8.62, 8.77, 9.00, and 9.12. When I try to figure this out on a calculator I do not even get close to any of these answers. I do not know how to use a scientific calculator. Any help would be appreciated. Thank You.
Click here to see answer by Edwin McCravy(20054)

Question 87469: I don't know what I'm doing. Please help me figure this problem. Thank you in advance for all your assistance.
The problem has a hypoteneuse triangle with the longest side being 51ft. and the base is 45ft. I have to "Find the length x. Express your answer in simplified radical form". I have no idea how to do this.
Click here to see answer by rapaljer(4671)

Question 87662: .
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 88043: Two sides of a triangle are 12 and 15 cm long. Which measurement can be the length of the third side?
Click here to see answer by jim_thompson5910(35256)

Question 88313: Can someone Help me solve this problem?
Find the distance from first base to third base on a baseball diamond if the distance between bases is 90 feet.
Click here to see answer by rapaljer(4671)

Question 89044: A ladder leans against a house with it's base 15 feet from the house. When the ladder is pulled 9 feet further away from the house the upper end slides down 13 feet. How long is the ladder?
I understand how to figure Pythagoreans theorem with one variable, but how do you do it with two variables?
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 89975: Can anyone assist me with this problem?
Use the Intermediate Value Theorem to determine if P(x)=2x^5-7x+1 has a zero in the interval [1,2].
Click here to see answer by stanbon(75887)

Question 90906: what is 5 square root 20
Click here to see answer by praseenakos@yahoo.com(507)

Question 91719: A right angled triange PQR is drawn such that QR is hypotenuse, QP is Base and RP is Perpendicular. Equilateral triangles are drawn on the sides of right angled triangle. Is area Q = Area P + Area R?
Click here to see answer by psbhowmick(878)

Question 91774: PQR is an isosceles triangle such that QP=QR=13cm and the altitude PS=12cm. Find the length of PR.
Click here to see answer by mathispowerful(115)

Question 75658: The variable r and s represent the length of the legs of a right triangle,and t represents the length of the hypottenuse. find the unknowm vaule. then tell whether the lengths form a pythagorean triple.
1) r = 8, t = 12

2)r = 4, s = 6
Click here to see answer by sarah123(1)

Question 91849: ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to BD. Find the lengths of AD and AE.
Click here to see answer by scott8148(6628)

Question 91850: ABCD is a rectangle in which AB = 16cm, AC = 20cm and AE is the perpendicular from A to BD. Find the lengths of AD and AE.
Click here to see answer by scott8148(6628)

Question 92081: I need help solving this problem. this is the work i did so far:
there is a triangle on one side there is (x-2) the other side is (x-4) and the longest side is 10.
(x-2)^2+ (x-4)^2= 10^2
(x-2)(x-2)+ (x-4)(x-4)= 100
x^2 + -2x + -2x + 4 + x^2 + -4x + -4x + 16
2x^2 + -12x + 20 = 100

Click here to see answer by jim_thompson5910(35256)

Question 92365: If I have an equilateral triangle with a hypotenuse of 82 cm, what is the length of the two equal sides?
Click here to see answer by dolly(163)

Question 92587: The hypotenuse of A RIGHT TRIANGLE MEASURES 6M, AND ONE LEG MEASURES 2M. FIND THE MEASURE OF THE OTHER LEG. ROUND TO THE NEAREST HUNDRETH.
Click here to see answer by tutorcecilia(2152)

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