Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 410702: A 25-ft ladder is placed 8 ft from the base of the house. How
high up the side of the house can the ladder reach? Round
your answer to the nearest foot.
Click here to see answer by nerdybill(7384)

Question 411049: Find the area of the triangle whose sides have the given lengths. (Round your answer to two decimal places.)
a = 3, b = 7, c = 7

Click here to see answer by Alan3354(69443)

Question 411403: the legs of a ladder are of equal length and are 1 meter apart. the slant height of the ladder is 2.4 metres. how high above the ground does the ladder reach?
Click here to see answer by stanbon(75887)

Question 411572: A unit square is divided into 4 pieces using three cuts as shown. The four pieces can be rearranged to form an isosceles triangle. What is the length of the longest side of the triangle?
It is problem number 18 on http://www.ncssm.edu/smc/tests/Test2009/geo_09.pdf
Please explain how to find the answer.
Click here to see answer by sudhanshu_kmr(1152)

Question 412124: find the area under the curve if y=5-x^2
Click here to see answer by richard1234(7193)

Question 412155: Rooting through a spiral. (Heart of Mathematics textbook)
Start with a right triangle with both legs having length 1. What is the length of the hypotenuse? Suppose we draw a line of length 1 perpendicular to the hypotenuse and then make a new triangle as illustrated. What is the length of this new hypotenuse? Suppose we continue in this manner. Describe a formula for the lengths of all the hypotenuses.
Click here to see answer by jim_thompson5910(35256)

Question 413090: use a2+b2=c2 to determine the approximate length of the string on the kite

Click here to see answer by Alan3354(69443)

Question 413768: ∆ABC is a right triangle where C is 90˚. If AC = 6 in and BC = 8 in, find AB.
Click here to see answer by rfer(16322)

Question 413821: I know how to do a problem that has the hypotenuse (C) with the measure, but on the problem i have now it gave me side A and side B and didn't give me the C, so how do I set up this equation? cause normally it would be c2 = a2 + b2 ...but i don't have C
Click here to see answer by bayners123(12)

Question 414072: if the shortest leg of a 30-60-90 triangle has length 7, the length of the hypotenuse is
Click here to see answer by ewatrrr(24785)

Question 415098: 11-foot latter leaning against the building with the base of the ladder 5 feet from the building, how high up the building does the ladder reach?
Click here to see answer by robertb(5830)

Question 415097: A 14-foot ladder is leaning against a building, with the base of the ladder 2 feet from the building. How high up the building will the ladder reach?
Click here to see answer by robertb(5830)

Question 415095: A rectangular park is 30 miles long and 10 miles wide. How long is the pedestrian route that runs diagonally across the park?
Click here to see answer by mananth(16946)

Question 418285: What is the hypotenuse of a triangle with legs of 6 and 12?
Click here to see answer by oberobic(2304)

Question 418478: using the pythagorean theorem formula
two trains leave the same city at the same time. one heads dues west and one due noth one train travels 5 miles per hour faster than the other. After 2 hours they are 50 miles apart. Find the speed of each train.
so far i have (2r)^2+ (2r+10)^2=50^2
Click here to see answer by dnanos(83)

Question 418645: The ratio of similarity of two house lots is 3:1.8. If the smaller lot is 93 yards around, what is the perimeter of the larger lot?

Click here to see answer by rfer(16322)

Question 419047: Many tire manufacturers guarantee their tires for 50000 miles. If a tire has a 16 inch radius, how many revolutions of the tire are guaranteed? There are 63360 inches in a mile.Round to the nearest revolution.
Click here to see answer by Theo(13342)

Question 419427: I am trying to help my son with his homework and am lost.
The Pytha gorean Theorem
The question is: Do the following lengths form a right angle?
We then have a triangle with a base of 9, the left side is 6 and the right side is 8.
Where do I even begin?
Thank you for your assistance.
Click here to see answer by duckness73(47)

Question 419547: A square had a diagnol of 10cm. How long are each of the legs?
Click here to see answer by algebrahouse.com(1659)

Question 420202: A small commuter airline flies to three cities whose locations form the vertices of a right triangle. The total flight distance (from city A to city B to city C and back to city A) is 1400 miles. It is 600 miles between the two cities that are furthest apart (city A to city B). Find the other two distances between cities.
Click here to see answer by mananth(16946)

Question 420398: prove the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
Click here to see answer by richard1234(7193)

Question 420693: What is the Pythagorean theorem? How is it used in real life?

Click here to see answer by stanbon(75887)

Question 420399: Prove that three times the square of any side of an equilateral triangle is equal to four times the square of an altitude.
Click here to see answer by richard1234(7193)

Question 421068: A=12, B=_____ C= 13
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Question 421214: how far from the wall must you place a ladder of length 12m if the ladder is to touch a point 10 m above the ground
Click here to see answer by Gogonati(855)

Question 421485: the length of of a triangle are x cm ,{x+1} and {x+2}cm determine x so that this triangle is the right angled triangle .
thank you in advance
this question is from the book mathematics 6th edition written by teh keng seng
Click here to see answer by edjones(8007)

Question 422100: How to find one leg (a) and the hypotenuse (c) of a right triangle when one leg (b) is given (9 cm) and the angle closest to it, (angle B I can guess (45 degrees).
Click here to see answer by shree840(260)

Question 422461: How do you figure out the Pythagorean theorem, if sides a and b are a variable, (s) and side c is a 4? The formula is a squared * b squared = c squared. So, it is s squared times s squared equals 4 squared. How do you figure out s?

Click here to see answer by rfer(16322)

Question 423029: A=4 c=8
Click here to see answer by Alan3354(69443)

Question 423618: what is the hypotnuse if av is 7.5 and b is 18
Click here to see answer by MathLover1(20849)

Question 424030: The length of a diagonal of a square is given. Find the length of a side of the square. Find the following answers:
1. Square root of 2
2. 2
3. 20K
Click here to see answer by josmiceli(19441)

Question 424764: Suppose you know the base of a rectangle has a length of 5 inches and a diagonal has a length of 13 inches. Find the area of the rectangle.
Click here to see answer by ilana(307)

Question 426433: what is a2 + b2 = c2 if a = 12 and b = 12
Click here to see answer by linh117(31)

Question 426433: what is a2 + b2 = c2 if a = 12 and b = 12
Click here to see answer by edjones(8007)

Question 426454: a 20 foot long wire is used to support a television antenna. the wore is connected to the antenna 15 ft above the ground. how far away from the tower will the other end of the wire be located

I'm so lost. I just don't know how to set it up. I tried it and got 13.228
Click here to see answer by edjones(8007)

Question 426629: Please help me solve this equation
Find the length of the hypotenuse if angle A is 26.9 degrees and the side opposite A has length 7.7.
cant draw my angle here
Click here to see answer by ewatrrr(24785)

Question 426654: How can I solve the pythagorean theorem if a=2x b=x and c= 4 sqrt (5)
Click here to see answer by Alan3354(69443)

Question 426731: What is the length of the diagonal of a rectangle that has a width of 3 inches and a perimeter of 14 inches?
Click here to see answer by Adrish(44)

Question 426940: How do you find the hypotanuse if the square root is in the thousands?
Click here to see answer by richard1234(7193)

Question 427244: Will a 15 inch stick fit inside this rectangular box?
The dimensions are 6 feet long 12 feet tall and 6 feet.
I have a drawing, do i draw a diagonal and place the measurements on and around it?
Click here to see answer by robertb(5830)

Question 427257: 10. A boat drops an anchor with a 200-foot chain. The lake is 75 feet deep. How far can the
boat drift in any one direction? Show all your work.
Click here to see answer by jorel1380(3719)

Question 427243: If a rectangular TV screen is 45 cm long and and 32 cm wide, what is the diagonal measurement of the screen?
I tried 45^2 + 32^2 = X^2, but i am not sure this is the correct answer.
2025 + 1024 = X^2
sqrt ( 3049 ) = x
x = 55.22 cm long?

Click here to see answer by Alan3354(69443)

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