please answer the question 11
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Answers
Answered by
1
Answer:
1) 5,6,7
(5)^2+(6)^2+(7)^2
25+36+49
=110
1st option is correct
Answered by
3
AnsWer :
i ) 5 , 6 , 7.
QuestioN :
The sum of square of three consecutive natural number is 110. The number are
i ) 5 , 6 , 7.
ii ) 3 , 5 , 6.
iii ) 4 , 6 , 7.
iv ) 2 , 5 , 7.
SolutioN :
Let,
- Consecutive natural number
- ( a - 1 ) , a ( a + 1 )
→ ( a - 1 )² + a² + ( a + 1 )² = 110.
→ a² + 1 - 2a + a² + a² + 1 + 2a = 110.
→ 3a² + 2 = 110.
→ 3a² = 110 - 2.
→ a² = 108/3
→ a = √36.
→ a = 6.
Now,
→ a + 1 = 6 - 1 → 5.
→ a = 6.
→ a - 1 = 6 - 1 → 7.
Option ( i ) ✓
Therefore the value of square of consecutive natural number is 6 and number are 5 , 6 , 7.
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