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Solved Examples
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e   Pythagorean theorem is applicable for ________.   e View Solution
e   What is the length of the side PR of ΔPQR in the figure?
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e   What is the length of the side PR in the right triangle?
PR
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e   What is the length of the third side of the triangle in the figure?
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e   What are the values of x and y in the triangle?
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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
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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.
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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.?
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e   What is the diameter of the circle with center O, if AC = 6 ft and AB = 7 ft?
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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 View Solution
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 View Solution
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 View Solution
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 View Solution
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.
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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 View Solution
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?
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e   'The hypotenuse is the shortest side in a right triangle.' State whether the statement is true or false.   e View Solution
e   Which of the following is true for the right triangle?   e View Solution
e   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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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.
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e   Which of the figures is a right triangle?   e View Solution
e   What is the diameter of the circle with center O, if AC = 5 in and AB = 6 in?
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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 View Solution
e   What is the value of x in the triangle?
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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.?
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e   What is the length of the third side of the triangle in the figure?
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e   What is the sum of the sides AB and AC of the triangle?
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e   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?   e View Solution
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 View Solution
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 View Solution
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.
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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 View Solution
e   Find the lengths of AB and BC of the right triangle.
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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 View Solution
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?
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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 View Solution
e   The radius of the circle is 6 inches. Find the length of the sides of the square using the Pythagorean theorem.   e View Solution
e   Find the length of RT in the triangle RST.
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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.
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e   State whether the lengths 12, 13 and 14 are sides of a right triangle.   e View Solution
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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