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