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Solved Examples
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ff  Arthur walked diagonally across a square garden with each side measuring 30 ft in length (from one corner to the opposite corner). How far did he walk?  ff View Solution
ff  What is the diameter of the circle with center O, if AC = 6 cm and AB = 7 cm?
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ff  State which of the following measures will form a right triangle.
I. 9, 12, 15
II. 4, 6, 52
III. 3, 4, 6
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ff  If one side of a right triangle is 3 ft and the length of its hypotenuse is 4 ft, then find the length of the other side.  ff View Solution
ff  The perimeter of a right triangle is 180 inches and the ratio of the lengths of the 2 legs is 5:12. Find the length of the hypotenuse.  ff View Solution
ff  The lengths of the hypotenuse and the shorter leg of a right triangle are in the ratio 5:3 and the perimeter of the triangle is 96 inches. Find the length of the longer leg.
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ff  Diameter of the circle O is 6 cm. Find the length of the chord AC.
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ff  The length of the chord AB = 8 inches. What is the radius of the circle O?
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ff  If one side of a right triangle is 6 cm and the length of its hypotenuse is 8 cm, then find the length of the other side.  ff View Solution
ff  State which of the following measures will form a right triangle.
I. 3, 4, 5
II. 4, 6, 52
III. 1, 2, 4
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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  Can the lengths of the sides that are adjacent to the right angle be equal in a right triangle?
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ff  Find the value of n in the figure.  ff View Solution
ff  The perimeter of a right triangle is 120 inches and the ratio of the lengths of the 2 legs is 5:12. Find the length of the hypotenuse.  ff View Solution
ff  The lengths of the hypotenuse and the shorter leg of a right triangle are in the ratio 5:3 and the perimeter of the triangle is 24 inches. Find the length of the longer leg.
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ff  Diameter of the circle O is 8 cm. Find the length of the chord AC.
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ff  The radius of the circle is 10 cm. The perpendicular distance from the center of the circle to the chord is 6 cm. Find the length of the chord PQ.  ff View Solution
ff  The length of the chord AB = 12 inches. What is the radius of the circle O?
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ff  Pythagorean Theorem is applicable for _____.
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ff  What is the length of the side PR of ΔPQR in the graph, if the area of each square is 1 unit2?  ff View Solution
ff  What is the length of the side PR of ΔPQR in the figure?
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ff  What is the length of the third side of the triangle in the figure?
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ff  What are the values of x and y in the triangle, if the distance between two consecutive dots is 1 unit?  ff View Solution
ff  "In a right triangle, the hypotenuse is the shortest side." State whether the statement is true or false.
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ff  Which of the following is true for the right triangle?
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BBB State which of the following measures will form a right triangle.
I. 3, 4, 5
II. 2, 4, 20
III. 1, 2, 4
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BBB If one side of a right triangle is 9 ft and the length of its hypotenuse is 12 ft, then find the length of the other side. BBB View Solution
BBB Which of the figures is a right triangle?
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BBB What is the diameter of the circle with center O, if AC = 6 in and AB = 7 in?
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BBB The lengths p, q and r of sides of a right triangle satisfy the condition p2 - q2 = r2. What is the length of hypotenuse?
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BBB Bill walked diagonally across a square garden with each side measuring 25 ft in length (from one corner to the opposite corner). How far did he walk? BBB View Solution
BBB Which of the following measures form a right triangle?
I. 5, 13, 14
II. 7, 8, 9
III. 12, 16, 20
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BBB Which of the following measures do not form a right triangle? BBB View Solution
BBB A triangle PQR has sides of lengths 27 units, 36 units and 45 units. What is the measure of the angle opposite to the longest side?
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BBB Which of the following measures form a right triangle?
I. 7, 24, 25
II. 21, 22, 23
III. 9, 12, 15
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BBB Find the value of n in the figure.
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BBB Which of the following measures form a right triangle?
I. 5, 13, 14
II. 7, 8, 9
III. 12, 16, 20
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BBB State which of the following measures will form a right triangle.
I. 9, 12, 15
II. 2, 4, 20
III. 3, 4, 6
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BBB Which of the following measures form a right triangle?
I. 7, 24, 25
II. 21, 22, 23
III. 9, 12, 15
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