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Tutors Answer Your Questions about Pythagorean-theorem (FREE)
Question 148741: Hypotenuse of right angle is 60 cm. if the leg is five cm longer than the other leg, what is lenght of the legs.
I know the formula is c^2= a^2 + b^2
60^2= x^2 + (x+5)^2
60^2= x^2 + x^2 +10x +25
3600= 2x^2 + 10x + 25
Now what are we solving 4 x?
Click here to see answer by oscargut(682)  |
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(450)  |
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(2922)  |
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(7068)  |
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(6089)  |
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(5072)  |
Question 173498: A garden lot is in the shape of a right triangle. The hypothenuse is 30 yds. longer than twice the length of the shorter leg, and the longer leg is 20 yds. longer than twice the length of the shorter leg. What are the lengths of the three sides?
Click here to see answer by solver91311(5072)  |
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