Maths-
General
Easy
Question
Find the measure of the length of the side of the right-angle triangle if the length of two sides of the triangle is given. i) 115 yd, 252 yd ii) 40 ft, 41 ft iii) 105 ft, 88 ft
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: Hence, the length of the side is 137 ft.
i)
Length of perpendicular(p) =115 yd
Length of base(b) = 252yd
Using Pythagoras theorem
Hypotenuse2= Perpendicular2 + Base2
Hypotenuse2 = 1152 + 2522
Hypotenuse2 = 76729
Hypotenuse = 277 yd
Final Answer:
Hence, the length of the side is 277 yd
ii)
Length of perpendicular(p) =88 ft
Length of hypotenuse(b) = 41ft
Using Pythagoras theorem
Hypotenuse2= Perpendicular2 + Base2
Base2 = 412 - 402
Base2 = 81
Base = 9 ft
Final Answer:
Hence, the length of the side is 9 ft
i)
Length of perpendicular(p) =105 ft
Length of base(b) = 88 ft
Using Pythagoras theorem
Hypotenuse2= Perpendicular2 + Base2
Hypotenuse2 = 1052 + 882
Hypotenuse2 = 18769
Hypotenuse = 137 ft
Final Answer:
Hence, the length of the side is 137 ft.
Final Answer:
Hence, the length of the side is 9 ft
i)
Length of perpendicular(p) =105 ft
Length of base(b) = 88 ft
Using Pythagoras theorem
Hypotenuse2= Perpendicular2 + Base2
Hypotenuse2 = 1052 + 882
Hypotenuse2 = 18769
Hypotenuse = 137 ft
Final Answer:
Hence, the length of the side is 137 ft.
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