Theme: Pythagorean Theorem...
  • help! Given the length of three sides of a triangle, which is a right triangle? (1) 10,26,24 (2) 20,12,18 (3) 30,15,26 (4) 40,50,80 And also explain why it is the answer.
  • ABCD is a rectangle with AC=20 and AB=2BC. What is the area of rectangle ABCD?
  • What is the diagonal of a rectangle with length 48 inches and width 40 inches?
  • A 5 ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the base of the wall so that the top of laddet rests at the top of wall?
  • A helicopter rose vertically 300m and then flew west 400m. How far was the helicopter from it’s starting point?
  • Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3?
  • If sin Θ = 7 over 25, use the Pythagorean Identity to find cos Θ.
  • Why can a problem with extra information be difficult to solve?
  • I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?
  • The hypotenuse of a right triangle measures 29 cm. One leg is 1 cm shorter than the other. What are the lengths of the legs?
  • One leg of a right triangle is 5 millimeters shorter than the longer leg and the hypotneuse is 5 millimeters longer than the longer leg. Find the lenghts of the sides
  • Two bicyclists leave the center of town at the same time. One heads due north and the other heads due west. Later, the two cyclists are exactly 25 mi apart. The cyclist headed north has traveled 5 mi farther than the cyclist going west. How far has the cyclist going west traveled?
  • justify the distance formula with the Pythagorean theorem?
  • Find C side
  • I need three original word problems that relate to real life situations, that incorporate the Pythagorean Theorem!
  • Austin is climbing on a ladder that is attached against the side of a jungle gym wall. He is 5 feet off the ground and 3 feet horizontally from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
  • You want to create a box that can hold at the very longest a 4in object. find the dimensions of a box that will work
  • A Pythagorean triple is a triple of natural numbers satisfying the equation a^2+b^2+c^2. One way to produce a Pythagorean triple is to add the reciprocals of any two consecutive even or odd numbers. For example, 1/5+1/7=12/35. Now 12^2+35^2=1369. This is a Pythagorean triple if 1369 is a perfect square, which it is since 1369=37^2. So 12, 35, 37 is a Pythagorean triple. Prove that this method always works.
  • A ladder of length 2x+1 feet is positioned against a wall such that bottom is x-1 feet away from a wall. The distance between the floor and top of the ladder is 2x. Assume that a right angle is formed by wall and the floor.
  • What is the length of AG in the rectangular prism? Round ^1 your answer to the nearest tenth.
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