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Solved Examples
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ccc The length of PR in the figure is 4√2 inches. What are the lengths of PQ and QR?
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ccc Is a triangle with side lengths 2, 4 and 2√3 a 30o-60o-90o triangle? ccc View Solution
ccc Can a 30o-60o-90o triangle have the measure of its legs as 6 feet each?
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ccc 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?
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ccc 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?
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ccc State whether the lengths 9, 10 and 11 are sides of a right triangle.
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ccc State which of the following measures will form a right triangle.
(i) 6, 8, 10
(ii) 4, 6, 52
(iii) 2, 3, 5 ccc
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ccc What are the angle measures of an isosceles right triangle? ccc View Solution
ccc Is every isosceles triangle an isosceles right triangle? ccc View Solution
ccc What type of triangle will be formed from two sides of a square field and diagonal walkway?
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ccc Is the ratio of the length of legs same as the ratio of their opposite angles in an isosceles right triangle? ccc View Solution
ccc What is the relation between the length of the shortest side and hypotenuse in a 30o-60o-90o triangle?
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ccc The length of PR in the figure is 3√2 inches. What are the lengths of PQ and QR?
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ccc 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? ccc View Solution
ccc Is a triangle with side lengths 5, 10 and 5√3 a 30o-60o-90o triangle? ccc View Solution
ccc 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?
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ccc Find the measures of the missing sides in the triangle.
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ccc What is the ratio of the length of hypotenuse to length of the leg of an isosceles right triangle?
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ccc 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?
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ccc Can a 30o-60o-90o triangle have the measure of its legs as 4 feet each?
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ccc The sides of a right triangle that form right angle are __________.
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ccc "The Pythagorean theorem is true only for right triangles that have the sides as whole numbers." State whether the statement is true or false.
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ccc What is the value of b in the figure?
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ccc Find the value of a from the figure.
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ccc Find the value of x in the right triangle.
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ccc State whether the lengths 10, 11 and 12 are sides of a right triangle.
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ccc Find all of the side measures of the right triangle.
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ccc State which of the following measures will form a right triangle.
(i) 3, 4, 5
(ii) 3, 5, 34
(iii) 1, 2, 4 ccc
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ccc What are the side measures of the right triangle in the dot paper, if the distance between any two adjacent dots is one unit?
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ccc Which of the figures is a right triangle?
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ccc State which of the following measures will form a right triangle.
(i) 6, 8, 10
(ii) 3, 4, 5
(iii) 2, 3, 5
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ccc State which of the following measures will form a right triangle.
I. 9, 12, 15
II. 12, 16, 20
III. 12, 15, 20
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