Questions on Geometry: Pythagorean theorem answered by real tutors!

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Question 1088576: If positive integers are chosen for r and s, with r>s, then the following set of equations generates a Pythagorean triple (a, b, c).

a=r^2 − s^2 b=2rs c=r^2 + s^2
Use the values r=8 and s=5 to generate a Pythagorean triple.
Thank you for your help!
Click here to see answer by MathLover1(20849)

Question 1088562: The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft
more than twice the length of the shorter leg. Find the side lengths of the triangle.
Find the length of the shorter side
Find the length of the longer side
Find the length of the hypotenuse
Click here to see answer by josgarithmetic(39617)

Question 1088842: The lenghts of the diagonals of a rhombus are 16 cm and 12 cm.The length of the side of the rhombus is
Click here to see answer by addingup(3677)

Question 1088895: Please help me solve this question
Use Pythagorean theorem to find the length of the missing side. then find indicated trigonometric function of the given triangle . give a exact answer with a rational denominator
right triangle

theta of B

a=5
b=2
I started to do this question
c^2=5^2+2^2
c^2=25+4
c^2=29
c=Sqrt of 29
after that i am confused?

Click here to see answer by Alan3354(69443)

Question 1089384: Please help me by solving this equation.
A 10m long pipe rests on a 4m high fence. One end of the pipe is on the ground 3m from the base of the fence. How much of the pipe hangs over the fence?
Click here to see answer by solver91311(24713)

Question 1089971: two people were walking in opposite direction both of them walked 6 miles forward then took right and walked 8 miles. How far is each from starting positions ?
Click here to see answer by Fombitz(32388)

Question 1090464: What I'm trying to do is reverse the procedure. The answer I have is 4 radical 7, but what does that start out as? Specifically, what's the hypotenuse and the legs?
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Question 1091757: What is the midpoint of coordinates (-3,-7) and (-1,1)

Click here to see answer by josgarithmetic(39617)

Question 1091894: A field is 175 yd long from end to end and 180 ft. Wide. If a person runs diagonally across the field from one end to the other, how far does he run?
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Question 1091897: A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 7 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. Find the time that the hose can complete the job alone.
Click here to see answer by josgarithmetic(39617)

Question 1091895: A field is 175 yd long from end to end and 180 ft wide. If a person runs diagonally across the field from one end to the other, how far does he run?
Click here to see answer by Fombitz(32388)

Question 1092021: when joe drives to school he picks up his friend dave dave lives directly south of joe. thier school is directly east from joe house joe usually drives an average of 30 miles per hour if joe lives 13 miles from dave and dave lives 20 miles from school how much time would joe save if he did not pick up his friend dave?
Click here to see answer by addingup(3677)

Question 1092602: Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625
Which best describes Imara�s error?
Click here to see answer by Fombitz(32388)

Question 1092995: David travels 15 kilometers north, 16 kilometers west, and then 15 kilometers north again. What is the distance traveled by him from the starting point.
Click here to see answer by Alan3354(69443)

Question 1093137: The diagonal of a rohmbus are 30 cms and 40 cm long.find its side.

Click here to see answer by ikleyn(52778)

Question 1095769: If a equals x, b equals 6 x minus 2, and c equals 5 x plus 2, solve for x
Click here to see answer by greenestamps(13200)

Question 1095831: "Consider some similarities and differences between the Distance Formula and the Pythagorean Theorem. Then try to convince someone (or yourself) how you can get the distance formula from the Pythagorean Theorem."
Click here to see answer by josgarithmetic(39617)

Question 1096009: a man travels 7km due north, then 10km east. find the resultant displacement
Click here to see answer by addingup(3677)

Question 1096467: What is the answer for side C on a right triangle if side A is 36 and side B is 77? Thank you!
Click here to see answer by greenestamps(13200)

Question 1096436: A field in the shape of a right triangle has an area of
30 square meters. If one leg of the right triangle that forms the field is
4 meters longer than the other leg, what is the length of the longer leg?
Click here to see answer by KMST(5328)

Question 1096818: b2+c2. a2. a2
b2. c2+a2 b2
c2 c2 a2+b2
Click here to see answer by Alan3354(69443)

Question 1096842: Two planes leave the airport at the same time. One plane flies 24 miles south to miami and the other plane flies 10 miles east to jacksonville. How far apart are the planes?
Click here to see answer by jorel1380(3719)

Question 1097038: The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.
24 and 32
Click here to see answer by jorel1380(3719)

Question 1097242: Diana is making a ramp to try out her car for a pinewood derby.The ramp support forms a right angle.The base is 12 feet long and the height is 5 feet.what lenght of plywood does she need to complete the ramp?
Click here to see answer by jorel1380(3719)

Question 1097244: A 25-foot ladder is placed against a building.The bottom of the ladder is 7 feet from the building.If the top of the ladder slips down 4 feet,how many feet will the bottom slide out?No,its not 4 feet!!
Click here to see answer by josmiceli(19441)

Question 1097526: Solve the problem
A lake lies between A and C, and lines AB and DE run north-south.If AB= 7.0 mi. , DE=1.3 mi. and DC=1.0 mi. How far is it from A to C? Round to nearest tenth.

Click here to see answer by ikleyn(52778)

Question 1099715: two right triangles both have equal hypotenuses and equal lengths of base (2m) is joined to make one triangle. The base of the new triangle is now 4 m (2m + 2m). what is the perimeter of the new triangle?
Click here to see answer by Fombitz(32388)

Question 1101193: In an isosceles triangle labelled ABC, with BC as the base, and AB as the hypotenuse, and triangle MPQ is and equilateral triangle inside triangle ABC. M is the midpoint of AB, with the point being 20 cm from both A and B. Q is on line AC, and P is on line BC. Find the length, in cm of PC.
Click here to see answer by greenestamps(13200)

Question 1101197: A boy has 3 sticks 18,16,24, and 30 inches which 3 sticks make a right triangle
Click here to see answer by richwmiller(17219)

Question 1101262: Find the missing length in a right triangle
a = 7, b = 9, c = ?

Click here to see answer by Fombitz(32388)

Question 1101520: I found the hypotenuse of sqrt of 8^2+10^2= sqrt 164=12.81, my question is how did I get 12.81 from the sqrt of 64?
Click here to see answer by richwmiller(17219)

Question 1102091: Kelly is mountain climbing with Jenny and has just climbed a 6-meter vertical rock face. Jenny is standing at the bottom of the cliff, looking up at Kelly. If Jenny is 9 meters away from Kelly, how far away from the cliff is Jenny standing? If necessary, round to the nearest tenth.
Click here to see answer by josmiceli(19441)

Question 1102221: Use the Pythagorean theorem to find the missing side. c=8, a=6, find b. Forgot this part: Simplify your answer. Type a radical expression in lowest terms. Thanks!!
Click here to see answer by Alan3354(69443)

Question 1102222: Use the Pythagorean theorem to find the missing side. c=8, a=6, find b. Forgot this part: Simplify your answer. Type a radical expression in lowest terms. Thanks!! THIS IS NOT A DUPLICATE QUESTION - I NEED IT ANSWERED AS A RADICAL EXPRESSION IN LOWEST TERMS...
Click here to see answer by josgarithmetic(39617)

Question 1102226: I DO NOT NEED TO BE SCHOOLED ON THIS...I JUST NEED THE ANSWER: Use the Pythagorean theorem to find the missing side. c=8, a=6, find b. Forgot this part: Simplify your answer. Type a radical expression in lowest terms. Thanks!! THIS IS NOT A DUPLICATE QUESTION - I NEED IT ANSWERED AS A RADICAL EXPRESSION IN LOWEST TERMS...
Click here to see answer by Boreal(15235)

Question 1102391: A rectangular box is completely filled with dice. Each die has a volume of 1cm^3. The length of the box is 3 cm greater than its width and its height is 5cm. Suppose the box holds at most 140 dice. What ate the possible dimensions of the box?
Hint: use the formula of a rectangular prism
V=lwh
Click here to see answer by josgarithmetic(39617)

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