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Solved Examples
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ff  Sheela went to an open field to fly a kite. She let out all 150 ft of string and tied it to a stake. Then she walked out on the field until she was directly under the kite, 90 ft from the stake. How high was the kite?  ff View Solution
ff  Jimmy walked diagonally across a square garden with each side measuring 25 ft long (from one corner to the opposite corner). How far did he walk?
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ff  The hypotenuse of a right triangle is 2 feet more than its longer leg. The length of shorter leg is 6 feet. Find the length of the longer leg and hypotenuse.
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ff  One end of a wire with a length of 10 feet is tied to the top of the pole and the other end is fixed to the ground at a distance of 6 feet from the foot of the pole. What is the height of the pole?  ff View Solution
ff  One leg A of a right triangle is 3 inch less than the hypotenuse. The length of the other leg is 9 inches. What are the lengths of leg A and the hypotenuse?
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ff  A ladder which is 15 feet long is placed on a wall such that the top of the ladder touches the top of the wall. The bottom of the ladder is 9 feet away from the wall. What is the height of the wall?
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ff  State whether the lengths 10, 11 and 12 are sides of a right triangle.  ff View Solution
ff  The radius of the circle is 6 inches. Find the length of the sides of the square using the Pythagorean theorem.
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ff  The perimeter of a right triangle is 270 inches and the ratio of the lengths of the 2 legs is 5 : 12. Find the length of the hypotenuse.
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ff  The length of the chord AB = 14 in. What is the radius of the circle?  ff View Solution
ff  State which of the following measures will form a right triangle?
(i) 6, 8, 10
(ii) 4, 6, 52
(iii) 2, 3, 5
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ff  If one side of a right triangle is two times the other and the length of hypotenuse is 10 ft, then what are the measures of the two sides?  ff View Solution
ff  State which of the following measures will form a right triangle?
(i) 9, 12, 15
(ii) 5, 7, 74
(iii) 3, 4, 6
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ff  What is the measure of the hypotenuse in the right triangle?  ff View Solution
ff  A ladder which is 20 feet long is placed on a wall such that the top of the ladder touches the top of the wall. The bottom of the ladder is 12 feet away from the wall. What is the height of the wall?
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ff  Find the length of AC in the dot paper, if the distance between each dot is one unit.  ff View Solution
ff  What is the length of the third side of the triangle shown in the figure?
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ff  What are the measures of the sides of right triangle AED in the figure, if the distance between two dots in the figure is one unit?
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ff  One leg A of a right triangle is 2 inch less than the hypotenuse. The length of the other leg is 6 inches. What are the lengths of leg A and the hypotenuse?
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ff  What is the value of b in the figure?
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ff  Find the value of a from the figure.
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ff  Find the value of x in the right triangle.
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ff  State whether the lengths 9, 10 and 11 are sides of a right triangle.  ff View Solution
ff  Find the value of x in the figure.
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ff  What are the side measures of the blue colored right triangle enclosed in the dot paper, if the distance between each dot is one unit?
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ff  The numbers 3, 4 and 5 are a Pythagorean triplet because 32 + 42 = 52. What are the next two multiples of this Pythagorean triplet?  ff View Solution
ff  Kelsey went to an open field to fly a kite. She let out all 150 ft of string and tied it to a stake. Then she walked out on the field until she was directly under the kite, 90 ft from the stake. How high was the kite?  ff View Solution
ff  Figure ABCD is a rectangular field 400 ft long and 300 ft wide. The path from A to C is how much shorter than the path from A to B to C?  ff View Solution
ff  The hypotenuse of a right triangle is 4 feet more than its longer leg. The length of shorter leg is 12 feet. Find the length of the longer leg and hypotenuse.
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ff  A right triangle never has two equal angles. State whether the statement is true or false.
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ff  One end of a wire with a length of 25 feet is tied to the top of the pole and the other end is fixed to the ground at a distance of 15 feet from the foot of the pole. What is the height of the pole?  ff View Solution
ff  Find the measures of the sides of the right triangle shown.  ff View Solution
ff  Find the length of the side PR of ΔPQR shown in the graph.  ff View Solution
ff  What are the values of x and y in the triangle?  ff View Solution
ff  A Pythagorean triplet when multiplied by a positive integer n is also a Pythagorean triplet. State whether the statement is true or false.  ff View Solution
ff  The radius of the circle is 3 inches. Find the length of the sides of the square using the Pythagorean theorem.
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ff  The perimeter of a right triangle is 210 inches and the ratio of the lengths of the 2 legs is 5 : 12. Find the length of the hypotenuse.
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ff  The length of the chord AB = 8 in. What is the radius of the circle?  ff View Solution
ff  State which of the following measures will form a right triangle?
(i) 3, 4, 5
(ii) 3, 5, 34
(iii) 1, 2, 4
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ff  A man wants to reach a window which is 40 ft above the the ground. The distance from the foot of the ladder to the wall is 9 ft. Find the length of the ladder he needs.  ff View Solution
ff  Which of the figures is a right triangle?  ff View Solution
ff  George walked diagonally across a square garden with each side measuring 20 ft long (from one corner to the opposite corner). How far did he walk?
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ff  If one side of a right triangle is two times the other and the length of hypotenuse is 15 ft, then what are the measures of the two sides?  ff View Solution