Kevin’s work to represent 27 on a number line is shown. In the number line, arc DQ is drawn using OD as the radius.Looking at Kevin’s work, Tina and Ajay made following statements.Tina: OA = 5 units, AB = BD = 1 unitAjay: OB = 26 units and AB = 1 unit. Who is correct? *
Answers
Given : Kevin’s work to represent 27 on a number line is shown. In the number line, arc DQ is drawn using OD as the radius.
Tina and Ajay made following statements.Tina: OA = 5 units, AB = BD = 1 unitAjay: OB = 26 units and AB = 1 unit.
To Find : Who is correct
Solution:
OA = 5 units
AB = 1 unit
OB² = OA² + AB² using Pythagoras theorem
=> OB² = 5² + 1²
=> OB² = 25+ 1
=> OB² = 26
=> OB = √26 units
OD² = OB² + BD²
=> OD² =26 +1
=> OD² =27
=> OD = √27
OD = OQ as DQ is arc with center O
Hence OA = 5 units , AB = 1 unit , BD = 1 units id correct
so Tina is correct
OB = √26 units not 26 units hence Ajay is not correct
Tina is correct
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Answer:
tina is correct
Step-by-step explanation:
OA = 5 units
AB = 1 unit
OB² = OA² + AB² using Pythagoras theorem
=> OB² = 5² + 1²
=> OB² = 25+ 1
=> OB² = 26
=> OB = √26 units
OD² = OB² + BD²
=> OD² =26 +1
=> OD² =27
=> OD = √27
OD = OQ as DQ is arc with center O
Hence OA = 5 units , AB = 1 unit , BD = 1 units id correct
so Tina is correct
OB = √26 units not 26 units hence Ajay is not correct
Tina is correct