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Answer :
Final answer:
The length of PR is found using the Pythagoras theorem with the sides 35 and 28 centimetres. After applying the formula, the length of the hypotenuse (PR) is calculated to be 44.8 centimetres, rounded to one decimal place, so the answer is (c) 44.2 cm.
Explanation:
The student asks to calculate the length of PR using the Pythagoras theorem when given the lengths of the other two sides of a right triangle, which are 35 centimetres and 28 centimetres. To find the length of PR, which is the hypotenuse, we can apply the formula of the Pythagorean theorem:
c = √(a² + b²)
Where:
- a = 35 centimetres
- b = 28 centimetres
- c = PR (the length we want to find)
Thus:
c = √(35² + 28²)
c = √(1225 + 784)
c = √(2009)
c = 44.8 centimetres (rounded to one decimal place)
Therefore, the length of PR to one decimal place is 44.8 centimetres, which means the correct answer is (c) 44.2 cm after rounding to the nearest tenth.
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