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Solved Examples
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ee  Pythagorean theorem is applicable for ________.  ee View Solution
ee  What is the length of the side PR of ΔPQR in the figure?
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ee  What is the length of the side PR in the right triangle?
PR
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ee  What is the length of the third side of the triangle in the figure?
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ee  What are the values of x and y in the triangle?
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ee  State which of the following measures will form a right triangle.
(i) 6, 8, 10
(ii) 5, 7, 74
(iii) 2, 3, 5
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ee  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.
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ee  What is the height of the ΔABC, if D is the midpoint of AB, AB = 8 in. and AC = 5 in.?
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ee  What is the diameter of the circle with center O, if AC = 6 ft and AB = 7 ft?
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ee  What is the measure of the side of the square, if the diagonal of the square is 8 feet?  ee View Solution
ee  Mike walked diagonally across a square garden of side 20 ft from one corner to the opposite corner. How far did he walk?  ee View Solution
ee  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?  ee View Solution
ee  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?  ee View Solution
ee  Find the length of the diagonal of the rectangle, if the length and the width of the rectangle are 6 ft and 3 ft.
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ee  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?  ee View Solution
ee  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?
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ee  'The hypotenuse is the shortest side in a right triangle.' State whether the statement is true or false.  ee View Solution
ee  Which of the following is true for the right triangle?  ee View Solution
ee  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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ee  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.
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ee  Which of the figures is a right triangle?  ee View Solution
ee  What is the diameter of the circle with center O, if AC = 5 in and AB = 6 in?
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ee  What is the measure of the side of the square, if the diagonal of the square is 6 feet?  ee View Solution
ee  What is the value of x in the triangle?
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ee  What is the length of the third side of the triangle in the figure?
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ee  What is the height of the ΔABC, if D is the midpoint of AB, AB = 16 in. and AC = 10 in.?
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ee  What is the sum of the sides AB and AC of the triangle?
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ee  The lengths p, q and r of the sides of a right triangle satisfy the condition p2 - q2 = r2. What is the length of hypotenuse?  ee View Solution
ee  Gary walked diagonally across a square garden of side 25 ft from one corner to the opposite corner. How far did he walk?  ee View Solution
ee  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?  ee View Solution
ee  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?  ee View Solution
ee  Find the length of the diagonal of the rectangle, if the length and the width of the rectangle are 6 m and 3 m.
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ee  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?  ee View Solution
ee  Find the lengths of AB and BC of the right triangle.
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ee  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 = ________.  ee View Solution
ee  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?
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ee  The radius of the circle is 6 inches. Find the length of the sides of the square using the Pythagorean theorem.  ee View Solution
ee  Find the length of RT in the triangle RST.
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ee  State which of the following measures will form a right triangle.
I. 6, 8, 10.
II. 2, 4, 20.
III 2, 3, 5.
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ee  State whether the lengths 12, 13 and 14 are sides of a right triangle.  ee View Solution
ee  State which of the following measures will form a right triangle.
(i) 3, 4, 5
(ii)4, 6, 10
(iii)1, 2, 4  ee
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