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