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Solved Examples
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cc  The hypotenuse of a right triangle is 2 feet more than its longer leg. The length of the shorter leg is 6 feet. Find the length of the longer leg and hypotenuse.  cc View Solution
cc  One end of a wire with a length of 20 feet is tied to the top of the pole and the other end is fixed on the ground at a distance of 12 feet from the foot of the pole. What is the height of the pole?
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cc  A ladder which is 10 feet long is placed on a wall such that the top of the ladder touches the top of the wall. The bottom of the ladder is 6 feet away from the wall. What is the height of the wall?  cc View Solution
cc  One leg of a right triangle is 2 in. less than the other leg. The length of hypotenuse is 10 in. Find the lengths of the two legs.  cc View Solution
cc  One leg A of a right triangle is 3 inch less than the hypotenuse. The length of the other leg is 9 inches. What are the lengths of leg A and the hypotenuse?  cc View Solution
cc  One end of a wire with a length of 25 feet is tied to the top of the pole and the other end is fixed on the ground at a distance of 15 feet from the foot of the pole. What is the height of the pole?
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cc  The hypotenuse of a right triangle is 4 feet more than its longer leg. The length of the shorter leg is 12 feet. Find the length of the longer leg and hypotenuse.  cc View Solution
cc  A right triangle never has two equal angles. State whether the statement is true or false.
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cc  One end of a wire with a length of 10 feet is tied to the top of the pole and the other end is fixed on the ground at a distance of 6 feet from the foot of the pole. What is the height of the pole?
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cc  One leg A of a right triangle is 1 inch less than the hypotenuse. The length of the other leg is 3 inches. What are the lengths of leg A and the hypotenuse?  cc View Solution
cc  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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cc  What is the measure of the hypotenuse in the right triangle?
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cc  What is the value of b in the figure?
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cc  Find the value of a from the figure.
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cc  Find the value of x in the right triangle.
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cc  Find all the side measures of the right triangle.
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cc  One leg of a right triangle is 3 in. less than the other leg. The length of hypotenuse is 15 in. Find the lengths of the two legs.  cc View Solution
cc  Can a right triangle have three equal angles?
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cc  Find the length of AC in the dot paper, if the distance between each dot is one unit.  cc View Solution
cc  Find the value of x in the figure.  cc View Solution
cc  Can a right triangle have an obtuse angle?
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cc  A ladder which is 25 feet long is placed on a wall such that the top of the ladder touches the top of the wall. The bottom of the ladder is 15 feet away from the wall. What is the height of the wall?  cc View Solution
cc  What are the side lengths of the right triangle enclosed in the dot paper, if the distance between each dot is one unit?
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cc  What are the measures of the sides of right triangle AED in the figure, if the distance between each dot in the figure is one unit?  cc View Solution
cc  What is the length of the third side of the triangle shown in the figure?  cc View Solution
B   The numbers 3, 4 and 5 are a Pythagorean triplet because 32 + 42 = 52. What are the next two multiples of this Pythagorean triplet?
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B   Shethal went to a level field to fly a kite. She let out all 150 ft of string and tied it to a stake. Then she walked out on the field until she was directly under the kite, 90 ft from the stake. How high was the kite?
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B   Figure ABCD is a rectangular field 400 ft long and 300 ft wide. How much shorter is the path from A to C than the path from A to B to C?
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B   What is the length of the side PR of ΔPQR in the graph?
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B   What are the values of x and y in the triangle?   B View Solution
B   Find the missing side of the right triangle ABC.
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B   A right triangle has a hypotenuse measuring 10 inches and one leg measuring 8 inches. Find the length of the other leg of the triangle.
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