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