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c The length of PR in the figure is 4√2 inches. What are the lengths of PQ and QR? c

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c Is a triangle with side lengths 2, 4 and 2√3 a 30^{o}60^{o}90^{o} triangle? c

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c Can a 30^{o}60^{o}90^{o} triangle have the measure of its legs as 6 feet each? c

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c One end of a wire of length 25 ft is tied to the top of the pole and the other end is fixed in the ground at a distance of 15 ft from the foot of the pole. What is the height of the pole? c

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c One leg of a right triangle is 2 in. less than the hypotenuse and the length of another leg is 6 in. What are the lengths of unknown leg and hypotenuse? c

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c State whether the lengths 9, 10 and 11 are sides of a right triangle. c

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c State which of the following measures will form a right triangle. (i) 6, 8, 10 (ii) 4, 6, 52 (iii) 2, 3, 5 c

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c What are the angle measures of an isosceles right triangle? c

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c Is every isosceles triangle an isosceles right triangle? c

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c What type of triangle will be formed from two sides of a square field and diagonal walkway? c

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c Is the ratio of the length of legs same as the ratio of their opposite angles in an isosceles right triangle? c

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c What is the relation between the length of the shortest side and hypotenuse in a 30^{o}60^{o}90^{o} triangle? c

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c The length of PR in the figure is 3√2 inches. What are the lengths of PQ and QR? c

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c The lengths of two legs are equal and hypotenuse is 2 times the length of a leg in a triangle. Which of the following are the angles of the triangle? c

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c Is a triangle with side lengths 5, 10 and 5√3 a 30^{o}60^{o}90^{o} triangle? c

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c Find the measures of the missing sides in the triangle. c

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c What is the ratio of the length of hypotenuse to length of the leg of an isosceles right triangle? c

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c Can a 30^{o}60^{o}90^{o} triangle have the measure of its legs as 4 feet each? c

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c The sides of a right triangle that form right angle are __________. c

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c One end of a wire of length 20 ft is tied to the top of the pole and the other end is fixed in the ground at a distance of 12 ft from the foot of the pole. What is the height of the pole? c

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ee One leg of a right triangle is 3 in. less than the hypotenuse and the length of another leg is 9 in. What are the lengths of unknown leg and hypotenuse? ee

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ee "The Pythagorean theorem is true only for right triangles that have the sides as whole numbers." State whether the statement is true or false. ee

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ee State whether the lengths 10, 11 and 12 are sides of a right triangle. ee

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ee Find all of the side measures of the right triangle. ee

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ee What are the side measures of the right triangle in the dot paper, if the distance between any two adjacent dots is one unit? ee

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ee State which of the following measures will form a right triangle. (i) 3, 4, 5 (ii) 3, 5, 34 (iii) 1, 2, 4 ee

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ee State which of the following measures will form a right triangle. (i) 6, 8, 10 (ii) 3, 4, 5 (iii) 2, 3, 5 ee

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ee State which of the following measures will form a right triangle. I. 9, 12, 15 II. 12, 16, 20 III. 12, 15, 20 ee

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