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