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

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 Question 148953: Greg is making a bike ramp in the shape of a right triangle. The base of the ramp is 4 inches more than twice its height, and the length of the incline is 4 inches less than three times its height. How high is the ramp? My question is in setting up the problem-do I have 2x+4 and 3x-4 for the formula c2=a2 + b2? Click here to see answer by mangopeeler07(462)

 Question 150498: Are there any other shapes that can be formed of the side of the side of the triangle besides squares that can complete the formula for example a hexagon? I have use a circle and that works if you use the length of the sides as the diameters. I think this is because of the square in the r2 is essentially the same as Pythagoras. Click here to see answer by Edwin McCravy(9717)

 Question 150635: the length of a leg of a right triangle is two times the length of the other, and the hypotenuse is 25.What is the length of the longer leg? Click here to see answer by jim_thompson5910(29613)

 Question 155822: how will you factor 2x^2-178x-14280=0 (2x ) (x ) << I cant find the factors Click here to see answer by stanbon(60771)

 Question 156438: The length of rectangle is 3 cm more than 3 times the width and 1 cm less than the length of a diagonal. Find the length of the rectangle Click here to see answer by gonzo(654)

 Question 157689: A= 4B B= ? C= B-20 What is B equal to. Click here to see answer by gonzo(654)

 Question 160202: how do i use the Pythagorean theorem to show how the distance formula was derived. Click here to see answer by nerdybill(7090)

 Question 161189: I am not certain if I need to use the a^ +b^ =c and then use a radical expression to reduce. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? Thank you, Tracy Click here to see answer by ankor@dixie-net.com(16524)

 Question 161403: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides? Click here to see answer by checkley77(12569)

 Question 161479: Area of a sail. The area in square meters for a triangular sail is given as a.) Find b.) If the height of the sail is meters, then what is the length of the base of the sail? How would I set this up and work it? Thank you, Tracy Click here to see answer by jim_thompson5910(29613)

 Question 162719: a mover must put a circular mirror two meters in diameter through a one meter by 1.8 meter doorway. find the lenght of the diagonal of the doorway. will the mirror fit? please help:)! Click here to see answer by checkley77(12569)

 Question 164372: Can there be a right triangle with sides of length 1, 2 and 3? Why or why not? Can yo find a right triangle whose side lengths are consecutive natural numbers? Click here to see answer by checkley77(12569)

 Question 164365: If a right triangle has legs of length 1 and x what is the length of the hypotenuse? Click here to see answer by checkley77(12569)

 Question 164371: Suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle? I'm clueless on this one. I just cant seem to get this. Any help would be greatly appreciated. Click here to see answer by nerdybill(7090)

 Question 164539: a radio tower located 18 miles north of a straight highway has a transmission radius of 33 miles. find x the length of the section of highway that is within the transmission radius of the tower. Click here to see answer by ankor@dixie-net.com(16524)

 Question 166528: Use the pythagorean theorem then find the exact length of the hypotenuse in the following right triangle 5 and 7 Click here to see answer by stanbon(60771)

 Question 166999: A boulder 10m high is on edge of a cliff. From a point on the ground 200 ft away from the foot of the cliff, the angles of elevation of the top and bottom of the boulder are 60 degrees and 40 degrees respectively. How high is the cliff? Click here to see answer by checkley77(12569)

 Question 168041: The screen size of a t.V is the length of the diagonal across the screen. The height of the screen = 16inches. The diagonal of the screen is 32inches. How to i find out the width? Click here to see answer by jojo14344(1513)

 Question 168429: how would you find 8 square root of 3 Click here to see answer by jim_thompson5910(29613)

 Question 168834: i cant figure out how to get the answer for hypotenuse i understand that you have to add the two numbers together but how to get that finale answer Click here to see answer by Alan3354(34677)

 Question 169528: If I walk 1/2 mile north and 1 1/2 mile east how many miles can I walk back with taking two miles to return. I need to know the shorter distance back to my main starting point. Click here to see answer by Mathtut(3670)

 Question 169783: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches. Click here to see answer by Alan3354(34677)
 Question 169783: Find the hypotenuse of a right triangle with sides 5 inches and 10 inches. Click here to see answer by jim_thompson5910(29613)

 Question 169890: A man 6 feet tall has a shadow 7.8 feet long while standing next to a flagpole that has a shadow measuring 195 feet. How tall is the flagpole? Click here to see answer by Earlsdon(6294)

 Question 169913: Boat A was 10 km west of Boat B. Boat A travelled directly north to shore. Boat B travelled 26 km directly to the same point on the shore. Boat A's trip was how many kilometres shorter? Click here to see answer by ankor@dixie-net.com(16524)

 Question 169626: If angle AC is Parallel to angle EF ,mEFC=113, m angle BEF is 71 find m angle EAC . Click here to see answer by Edwin McCravy(9717)

 Question 170537: A square is inscribed in a circle whose diameter is 10 cm. Find the length of the side of the square. Click here to see answer by Alan3354(34677)

 Question 170538: Can an umbrella 28 cm long be packed in the bottom of a suitcase 24 cm long by 16 cm? Click here to see answer by Alan3354(34677)

 Question 170729: A builder is about to cut rafters for a roof of a cottage. If the width of the cottage is 24 m and he wants a roof 5 m high with an overhanging eave 1 m, find the total length of the rafter. Click here to see answer by jim_thompson5910(29613)

 Question 170991: triangle abc has a right angle at B. AB=9cm. BC=12cm find the length of AC Click here to see answer by stanbon(60771)
 Question 170991: triangle abc has a right angle at B. AB=9cm. BC=12cm find the length of AC Click here to see answer by jojo14344(1513)

 Question 171038: A classroom is 20 m long, 12 m wide, and 7 m high. Find the distance from the northeast corner of the room to the southwest corner of the room at floor level. Click here to see answer by gonzo(654)

 Question 171507: Given the triange with a hypotenuse = 20 , and one leg = X + 8 , and the other leg = X Approximate to the nearest foot how many feet of walking distance a person saves by cutting across the lawn instead of walking on the side walk. I know you use pythagorean theorem to get {2x^2 + 16x -336 = 0} then simplify and get 2(x^2 + 8x - 168) = 0 After this you use quadratic equation and get -4 +- ^736 over 1 I dont know how to get the whole number after this Thanks Click here to see answer by Alan3354(34677)
 Question 171507: Given the triange with a hypotenuse = 20 , and one leg = X + 8 , and the other leg = X Approximate to the nearest foot how many feet of walking distance a person saves by cutting across the lawn instead of walking on the side walk. I know you use pythagorean theorem to get {2x^2 + 16x -336 = 0} then simplify and get 2(x^2 + 8x - 168) = 0 After this you use quadratic equation and get -4 +- ^736 over 1 I dont know how to get the whole number after this Thanks Click here to see answer by solver91311(18785)

 Question 171845: If the long les of a 30-60-90 triangle is 5. What is the short leg and the hypotenouse? Click here to see answer by josmiceli(10616)

 Question 172190: suppose you know the base of a rectangle has a length of 4 inches and a diagonal has a length of 5 inches. Find the area of the rectangle Click here to see answer by jojo14344(1513)

 Question 172315: If the the hypotenuse of a right triangle is 13 then what are it's legs? Click here to see answer by Mathtut(3670)