Question

please answer the question 11​

Answer 1

Answer:

1) 5,6,7

(5)^2+(6)^2+(7)^2

25+36+49

=110

1st option is correct

Answer 2

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.