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e Pythagorean theorem is applicable for ________. e

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e What is the length of the side PR of ΔPQR in the figure? e

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e What is the length of the side PR in the right triangle? PR e

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e What is the length of the third side of the triangle in the figure? e

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e What are the values of x and y in the triangle? e

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e State which of the following measures will form a right triangle. (i) 6, 8, 10 (ii) 5, 7, 74 (iii) 2, 3, 5 e

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e One side of a right triangle is 3 ft and the length of its hypotenuse is 4 ft. Find the length of the other side. e

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e What is the height of the ΔABC, if D is the midpoint of AB, AB = 8 in. and AC = 5 in.? e

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e What is the diameter of the circle with center O, if AC = 6 ft and AB = 7 ft? e

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e What is the measure of the side of the square, if the diagonal of the square is 8 feet? e

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e Mike walked diagonally across a square garden of side 20 ft from one corner to the opposite corner. How far did he walk? e

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e The length and the width of a rectangular football court are 20 feet and 15 feet respectively. A diagonal walkway is made from one end to the opposite end. What is the length of the walkway? e

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e If one side of a right triangle is two times the other and the length of hypotenuse is 15 ft, then what are the measures of the two sides? e

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e Find the length of the diagonal of the rectangle, if the length and the width of the rectangle are 6 ft and 3 ft. e

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e The hypotenuse of a right triangle is 5 units and the other two sides are in the ratio 3:4. What is the length of the shortest side? e

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e The length and the width of a rectangular field are 28 feet and 21 feet respectively. A diagonal walkway is made from one end to the opposite end. What is the length of the walkway? e

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e 'The hypotenuse is the shortest side in a right triangle.' State whether the statement is true or false. e

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e Which of the following is true for the right triangle? e

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e State which of the following measures will form a right triangle. (i) 9, 12, 15 (ii) 2, 4, 20 (iii) 3, 4, 6 e

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e One side of a right triangle is 6 cm and the length of its hypotenuse is 8 cm. Find the length of the other side. e

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e What is the diameter of the circle with center O, if AC = 5 in and AB = 6 in? e

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e What is the measure of the side of the square, if the diagonal of the square is 6 feet? e

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e What is the height of the ΔABC, if D is the midpoint of AB, AB = 16 in. and AC = 10 in.? e

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e What is the length of the third side of the triangle in the figure? e

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e What is the sum of the sides AB and AC of the triangle? e

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e The lengths p, q and r of the sides of a right triangle satisfy the condition p^{2}  q^{2} = r^{2}. What is the length of hypotenuse? e

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e Gary walked diagonally across a square garden of side 25 ft from one corner to the opposite corner. How far did he walk? e

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e The hypotenuse of a right triangle is 10 units and the other two sides are in the ratio 3:4. What is the length of the shortest side? e

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e Find the length of the diagonal of the rectangle, if the length and the width of the rectangle are 6 m and 3 m. e

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e If one side of a right triangle is two times the other and the length of hypotenuse is 25 ft, then what are the measures of the two sides? e

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e Find the lengths of AB and BC of the right triangle. e

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e If, in an isosceles right triangle, the length of the hypotenuse is c and the length of one of the sides is a, then c = ________. e

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e The length and the width of a rectangular field are 20 feet and 15 feet respectively. A diagonal walkway is made from one end to the opposite end. What is the length of the walkway? e

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e The length and the width of a rectangular field are 24 feet and 18 feet respectively. A diagonal walkway is made from one end to the opposite end. What is the length of the walkway? e

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e The radius of the circle is 6 inches. Find the length of the sides of the square using the Pythagorean theorem. e

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e State which of the following measures will form a right triangle. I. 6, 8, 10. II. 2, 4, 20. III 2, 3, 5. e

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e State whether the lengths 12, 13 and 14 are sides of a right triangle. e

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e State which of the following measures will form a right triangle. (i) 3, 4, 5 (ii)4, 6, 10 (iii)1, 2, 4 e

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