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Solved Examples
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D   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.   D View Solution
D   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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D   Diameter of the circle O is 6 cm. Find the length of the chord AC.
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D   The length of the chord AB = 8 inches. What is the radius of the circle O?
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D   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?   D View Solution
D   What is the diameter of the circle with center O, if AC = 6 cm and AB = 7 cm?
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D   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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D   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.   D View Solution
D   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.   D View Solution
D   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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D   "A Pythagorean triplet, when multiplied by a positive integer n, is also a Pythagorean triplet." State whether the statement is true or false.   D View Solution
D   Can the lengths of the sides that are adjacent to the right angle be equal in a right triangle?
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D   Find the value of n in the figure.   D View Solution
D   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.   D View Solution
D   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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D   Diameter of the circle O is 8 cm. Find the length of the chord AC.
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D   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.   D View Solution
D   The length of the chord AB = 12 inches. What is the radius of the circle O?
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D   Pythagorean Theorem is applicable for _____.
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D   What is the length of the side PR of ΔPQR in the graph, if the area of each square is 1 unit2?   D View Solution
D   What is the length of the side PR of ΔPQR in the figure?
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D   What is the length of the third side of the triangle in the figure?
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D   What are the values of x and y in the triangle, if the distance between two consecutive dots is 1 unit?   D View Solution
D   "In a right triangle, the hypotenuse is the shortest side." State whether the statement is true or false.
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D   Which of the following is true for the right triangle?
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D   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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D   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.   D View Solution
D   Which of the figures is a right triangle?
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D   What is the diameter of the circle with center O, if AC = 6 in and AB = 7 in?
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D   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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D   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?   D View Solution
D   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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D   Which of the following measures do not form a right triangle?   D View Solution
D   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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D   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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D   Find the value of n in the figure.
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D   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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D   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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D   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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