Questions on Geometry: Pythagorean theorem answered by real tutors!

Tutors Answer Your Questions about Pythagorean-theorem (FREE)

Question 856497: A boat is 8km north and 15km west of its starting point.How far is the boat from its starting point?
Click here to see answer by Alan3354(69443)

Question 856494: Find the length of a rectangle if a diagonal is 36ft and its width is 18ft
Click here to see answer by Fombitz(32388)

Question 856831: suppose one leg and the hypotenuse of a right triangle are consecutive integers. find the length of the leg and hypotenuse if the other leg is of length 7cm.
Click here to see answer by mananth(16946)

Question 857530: A 6 feet tall step ladder.
What angle do the legs make with the ground
Click here to see answer by Alan3354(69443)

Question 858203: Maria has a square garden in her backyard. The diagonal of the garden is 8 feet. Find the lengths of one side of the garden.
Click here to see answer by JulietG(1812)

Question 858462: How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12-foot tall wall?
Click here to see answer by ben720(159)

Question 858579: How do u find the hypotenuse when a=3 squared and b=3
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Question 859519: You have a right triangle with sides x+2, 2x, and 10(the hypotenuse). Find the value of x.
Click here to see answer by stanbon(75887)

Question 860181: VWXYZ is a rectangle-based pyramid where
WX = 66cm and XY = 32 cm. The vertex V is
vertically above the centre of the base.
Given that the slant heights VA and VB are
56 cm and 63 cm respectively, draw the net
of the pyramid and find its total surface
area. Also find the height and volume of
the pyramid.

Click here to see answer by Edwin McCravy(20055)

Question 860906: Please help me solve this equation
Click here to see answer by mananth(16946)

Question 861122: AC=5 and AB=7. What is BC?

Click here to see answer by richwmiller(17219)

Question 861489: complete the list of primitive (c>100) Pythagorean triples:
(3,4,5) (5,12,13) (7,24,25) (8,15,17)
(9,40,41) (11,60,61) (12,35,37) (13,84,85)
(16,63,65) (20,21,29) (28,45,53) (33,56,65)
(36,77,85) (39,80,89) (48,55,73) (65,72,97)
Click here to see answer by richwmiller(17219)

Question 861800: A 45-45-90 triangle has a hypotenuse of length 9. What is the length of one of its legs? If necessary, round your answer to two decimal places.
Click here to see answer by Fombitz(32388)

Question 862718: An 18-foot pole is broken during a storm. The top of the pole touches the ground 12 feet from the base of the pole. How tall is the part of the pole left standing?
Click here to see answer by mananth(16946)

Question 862839: What is a=5,c=13
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Question 864124: a right triangle has an area of 200 cm^2. if one of its legs has a length of 40cm, what is the length of the other leg?
Click here to see answer by ewatrrr(24785)

Question 864535: A 35-inch television has a screen that is 21 inches high. How wide is the screen?
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Question 864609: If the two legs of a right triangle are 5 feet and 7 feet, how long must the hypotenuse be?
Click here to see answer by jim_thompson5910(35256)

Question 866336: Which pair of angle measures satisfy the condition sin J = cos K?
Click here to see answer by stanbon(75887)

Question 866336: Which pair of angle measures satisfy the condition sin J = cos K?
Click here to see answer by Seutip(231)

Question 866982: How to do Pythagorean theorem of a triangle that gives you two numbers and an a
Click here to see answer by Alan3354(69443)

Question 866977: A 25-foot ladder is placed 10 feet from the base of a building. What is the distance from the base of the
building to the point where the ladder leans up against the building, rounded to the nearest tenth of a foot.
Click here to see answer by Alan3354(69443)

Question 867067: find the missing lengths of the missing sides in the triangle. Round decimal answers to the nearest tenth.
angels are 45 45 90 degrees
a=missing
b=4
c=missing
Click here to see answer by ewatrrr(24785)

Question 868201: if ABCD IS A SQUARE AND DB THE DIAGONAL OF THE SQUARE BD=6RADICAL 2 CM FIND THE LENGTH OF SIDE OF THE SQUARE ?
Click here to see answer by ewatrrr(24785)

Question 868230: The hypotenuse of a right triangle is 7 inches, and one of the legs is square root of 13 inches. Find the length of the other leg.
Click here to see answer by Alan3354(69443)

Question 868309: An 8 ft ladder is leaning against a building. If the bottom of the ladder is 3ft from the base of the building, how far is it up the building from the bottom of the ladder to the top of the ladder
Click here to see answer by ewatrrr(24785)

Question 868415: 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.
My answer: I used Pythagorean theorem a^2+b^2=c^2
So in this case hypotenuse is the 200 ft and 60 ft wide is one of the legs
So you end up with a^2 or b^2 so I had to pick a side. I chose b.
So you rewrite the formula: b^2-C^2=a^2
so you have 60^2-200^2= a^2
once you figured out a^2, you take the square root of that number and plug it back in to the original Pythagorean Theorem.

Click here to see answer by josgarithmetic(39617)

Question 868715: A right triangle has legs that are square root 15 centimeters long and 7 centimeters long. What is the length of the hypotenuse
Click here to see answer by Alan3354(69443)

Question 869758: Mariah is designing a garden in the shape of
a right triangle. Which could be the lengths
of the sides of the garden?
F. 6.5 feet, 7.5 feet, 8.5 feet
G. 7.5 feet, 10 feet, 15 feet
H. 7.5 feet, 12.5 feet, 19.5 feet
I. 12.5 feet, 30 feet, 32.5 feet
Click here to see answer by richwmiller(17219)

Question 869624: c^2= 8.66^2+b^2
btw: 2b=c
Click here to see answer by Fombitz(32388)

Question 869623: c^2= 8.66^2+b^2
btw: 2b=c
Click here to see answer by Fombitz(32388)

Question 869987: i have to find the shorter side of the triangle and im not sure on how to do it, can you please help me..?
the triangles hypotenuse is 37 and the opposite is 12 i need to find the value of the adjective,how do i do it..?

Click here to see answer by josgarithmetic(39617)

Question 870426: In a 30-60-90 right triangle, how would you use the Pythagorean Theorem [a�+b�=c�] to prove the relationship?

Click here to see answer by richard1234(7193)

Question 871226: how do I find the length of a right triangle

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Question 871326: i have a triangle and the hypotenuse is 40cm and in the right corner it has a 90 degree angle, the top right angle measures to 60 degrees , where the tip is. the base @ the bottom is labeled "R" . it wants to know what "R" equals
Click here to see answer by mananth(16946)

Question 872082: I need help with Proofs.I need to prove that sec^2(x)cos^2^(x)-sin^2(x)=cos^2(x)
Thank you for taking the time to read this, I appreciate your time and effort and I hope you can help me.
Click here to see answer by richard1234(7193)

Question 872687: A man has a 90-foot ladder and leans the end of it against an exterior window of a house, The base of the ladder is 45 feet from the house. What is nearest foot of how high it is from window to ground?
Click here to see answer by indra89811(24)

Question 872741: In the box shown at the right what is the length of the dotted lines. Lengths given, 12cm, 8 cm 9 cm
Click here to see answer by Alan3354(69443)

Question 873223: In shop class you make a table. The sides of the table measure 36" and 18". If the diagonal of the table measures 43" is the table square?
Click here to see answer by stanbon(75887)

Question 873219: Jill's front door is 42" wide and 84" tall. She purchases a circular table that is 96" in diameter. Will the table fit through the front door?
Click here to see answer by stanbon(75887)

Question 873237: Any set of 3 positive integers that satisfies the equation a^2+b^2=C^2 is a Pythagorean triple. Determine whether each set of numbers is a Pythagorean triple.
a) 12,84,85 b) 28,45,53
Click here to see answer by Seutip(231)

Question 873264: find the area of a rectangle whose diagonal is 13 inches and width is 12 inches
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Question 873234: A banner shaped like a right triangle has a hypotenuse of length 26 ft and leg length of 10 ft. What is the area of the banner?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420