# Questions on Geometry: Pythagorean theorem answered by real tutors!

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 Geometry: Pythagorean theorem Solvers Lessons Answers archive Quiz In Depth

 Question 317438: If the square root of the length of the hypotenuse of a right triangle is 2 units, what is the sum of the squares of the lengths of the two other sides? Click here to see answer by Alan3354(30959)

 Question 318210: a guy wire is necessary to support the telephone pole. If the height of the pole is 36 feet and the guy wire is to be placed 15 feet from the base of the pole how long a wire is needed? Click here to see answer by mananth(12270)

 Question 318748: what is the lenght of the hypotenus of the right triangle.show the work on a graph.a is 4, b-5 what is c Click here to see answer by nyc_function(2733)

 Question 318861: Given points A(3, 2) and B(9, 1). Answer the following question concerning using the Pythagorean Theorem to find AB. What is this value of the horizontal leg? Click here to see answer by stanbon(57219)

 Question 318852: If it takes 2 men to do a job in 12 hours, how many men will it take to do the same job in 30 minutes? Please help. Thank you. Click here to see answer by Fombitz(13828)

 Question 318155: A right-angle triangle has a hypnotuse that is 10cm in length. Find possible dimensions for the two shorter sides. Show working out. Click here to see answer by Fombitz(13828)

 Question 319642: From the Pythagorean theorem, c1 = square root of 13. If a = 4, find c. what is the answer Click here to see answer by Alan3354(30959)

 Question 319844: A right triangle has a hypotenuse of length 25 and a leg of length 15. What is the length of the other leg? If necessary, round your answer to two decimal places. Click here to see answer by Alan3354(30959)

 Question 319945: 1. Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degree. ---------------------------- 2. Solve the proportion: Show that the answer is Click here to see answer by stanbon(57219)
 Question 319945: 1. Find the area of the shaded segment of a circle with radius 10cm and central angle 45 degree. ---------------------------- 2. Solve the proportion: Show that the answer is Click here to see answer by Edwin McCravy(8880)

 Question 320168: What is the area of the largest equilateral triangle that can fit inside a cube with an edge length of 10cm? Click here to see answer by CharlesG2(828)

 Question 321000: how do you solve the problems step by step Click here to see answer by Fombitz(13828)

 Question 321653: a triangle has a hypotenuse of length 15 and a leg length of 8. What is the area of the triangle Click here to see answer by mananth(12270)

 Question 322104: The ___________ ratio relates the length of the leg opposite the angle in question to the length of the hypotenuse Click here to see answer by Alan3354(30959)

 Question 322352: Which of the following sets of 3 segments would make up the three sides of a right triangle? I. 3 cm – 4 cm – 5 cm II. 4 cm – 4 cm – 5 cm III. 13 cm – 12 cm – 5cm IV. 24 cm – 7 cm – 25 cm a. I only b. I and II only c. I, II, and III only d. I and IV only e. I, III, and IV only Click here to see answer by Fombitz(13828)

 Question 322750: I have a problem with a square inside a circle. The length of the square is 2 and the width of the square is 2. what is the area of the circle and how do you figure this out? Thanks in advance. Click here to see answer by Alan3354(30959)
 Question 322750: I have a problem with a square inside a circle. The length of the square is 2 and the width of the square is 2. what is the area of the circle and how do you figure this out? Thanks in advance. Click here to see answer by jessica43(140)

 Question 322803: How do you find the value of different sides using the Pythagorean theorem? Also, please explain the Pythagorean theorem converse as well as the pythagorean triple. Click here to see answer by Alan3354(30959)

 Question 324299: how can you determine whether a triangle is a right traingle if you only know the length of its sides? Click here to see answer by Fombitz(13828)

 Question 324637: The sides of a right triangle are consecutive multiples of three. Find the length of the hypotenuse. Click here to see answer by Fombitz(13828)

 Question 324836: Can someone help me with this problem? It has 4 parts a,b,c and d. I have worked a,b and c this way: (d- I don't understand at all) a) I have a right triangle and know one leg (8) and the hypotenuse (10), I have to find x. 10^ - 8^ = 100-64=36 root is 6 so x = 6. Is this correct? b) Same triangle but I know the two legs 4a and 3a = 4^ + 3^ = 16+9=25, square root is 5 so x = 5. Correct? c)I have a triangle with two sides of 13, a line bisects the triangle creating a right angle and the portion from the line coming down the middle to the corner of the triangle is 5 (whole triangle is 13,13,10). So I know a leg and a hypotenuse, right? 13^-5^= 169-25= 144 square root is 12 so x is 12? d) now I have an equilateral triangle, line x bisects it creating a right angle and the bottom length is labeled "s". The line x would be a leg and half of s the other leg.... I am confused!! I have to find x but the only length I have is "s" Any help would be appreciated!! Click here to see answer by jim_thompson5910(28476)

 Question 324857: Another one I'm not sure of, if anyone can help? A company wants to lay a string of buoys across a lake; to find the length, they made the following measurements: It is a right triangle; one leg is 150ft and the hypotenuse is 180ft. Using the theorem I have 180-150=30 or 180^-150^=32,400 - 22,500 = 9900. I don't know if the solution is 9,900 ft or if there should be some conversions. 9900ft doesn't seem right to me if the other sides are only 180 and 150ft??? Click here to see answer by jim_thompson5910(28476)

 Question 326101: Using pythagoran theorem & using sine, here's the problem I'm stuck on. side a= x, side b= unknown, side c = 3x in a right triangle, how do you find side b? And then to find the sine of A & B of a right triangle. A is opposite side x and adjacent to unknown side. B is opposite unknown side and adjacent to side x. What are the angle measures of angle A and angle B? Thanks for your help! Click here to see answer by solver91311(16868)

 Question 326394: what is the length of sides a and b in radical form given the following c=-19 b=2a Click here to see answer by Fombitz(13828)

 Question 326397: ``what is the length of sides a and b in radical form given the following c=19 b=2a Click here to see answer by solver91311(16868)

 Question 326342: how do you write steps on meausing out/making a soccer field? its really hard can u please tell me the steps whilelist using pythagoras theorem?,, thanks! :) Click here to see answer by Alan3354(30959)

 Question 326546: The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle. Click here to see answer by solver91311(16868)

 Question 326596: a right triangle has legs 20 meters and40 meters long. find the approximate length of the hypotenuse Click here to see answer by solver91311(16868)

 Question 328377: If c is the measure of the hypotenuse,find the missing measure. Round to the nearest tenth,if necessary. a=?,b=16,c=43. Click here to see answer by Fombitz(13828)

 Question 328394: A number cube is rolled and a number card is drawn from cards numbered 1-14. Find the number of possible outcomes for the situation. Click here to see answer by Fombitz(13828)

 Question 328705: A boat is 8 km north and 15 km west of its starting point.How far is the boat from its starting point? Click here to see answer by Theo(3458)

 Question 328702: a ladder 25 ft long leans against a building.If its foot is 10 ft from the building,how high does it reach the building? Click here to see answer by rapaljer(4667)

 Question 328700: A working student has to deliver a package to one of their clients.Before he can reach their client's office,he has to travel 3 km due east,then 3 km due south,and then 7 km due west.How far is their office from the clients office? Click here to see answer by rapaljer(4667)

 Question 328706: A radio tower which is 40 meters in langth is braced with a cable and is tied 9 meters from the base.Find the length of the cable.(Discarded the length of the cable that will be needed for trying.) Click here to see answer by checkley77(12569)

 Question 328697: Two cyclists,Elvis and James start at the same time and in the same place.Elvis travels due east at 9 km per hour and James due north at 12 km per hour.How far are they from each other after one hour? Click here to see answer by checkley77(12569)

 Question 329068: The side lengths of a right triangle are 2, 5, and c, where c > 5. What is the value of c? (A) √21 (B) √29 (C) 7 (D) 9 (E) √145 Click here to see answer by mananth(12270)

 Question 329105: The sides of right triangle are consecutive multiples of three. Find the length of the hypotenuse. Click here to see answer by Fombitz(13828)

 Question 330286: Find the length of the side not given for a triangle with hypotenuse c and legs a and b. a=3 c=5√2 The guide says the answer is √41 I cannot figure out a way to get this answer no way I try. Thanks Click here to see answer by Alan3354(30959)

 Question 330574: I have this Maths Question. The sides of a rectangle are in the ratio 2:3 The diagonal is of length 26cm. You have to find the perimeter of the rectangle. I know that one side is two parts of the ratio and the other side is three parts of the ratio. I have squared 26² To get 676. Using Pythagoras theorem. The square of the sides with ratio 2: and 3: equal the longest side which is 26cm squared 676. I tried taking the ratio’s dividing it 676 by 5, but this does not give the correct lengths for each side. The answer for the whole perimeter is 20√13 From the answer I worked out from the ratio that the rectangle is made up of sides length 4√13, 6√13, 4√13, 6√13, adding these surds together gives you the answer 20√13. 4√13 = √16 * √13 = 208 6√13 = √36 * √13 = 468 208 + 468 = 676 What I can’t do is work out from the diagonal side 26cm squared to 676, how you then split the numbers into their correct ratio’s I backward worked it out after looking at the answer but don’t know the procedure to do this. Any help would be gratefully received. Click here to see answer by nyc_function(2733)

 Question 330605: A square has a diagonal length of 10 meters. Find the area of the square. Click here to see answer by Alan3354(30959)

 Question 330603: Find the length of a diagonal of a square tile that has sides 4 cm long. Click here to see answer by Alan3354(30959)

 Question 330604: A regulation soccer field is 50 yd wide and 100 yd long. Find the length of the diagonal of the field. Click here to see answer by checkley77(12569)

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