The length of the hypotenuse of right triangle is $\sqrt{2}$ m. To find the approximate value of the new number $\sqrt{2}$ , we need to select the numbers and square them and check if its equal to 2. Which of the following is the range of numbers we can select?

2< hypotenuse < 3

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4< hypotenuse < 5

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1< hypotenuse < 2

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0< hypotenuse < 1

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Solution

The correct option is C
1< hypotenuse < 2

Since, the length of hypotenuse is $\sqrt{2}$ . We should select two numbers such that 2 is included in the range of their squares.

$1^{2} = 1 2^{2} = 4$

Since 2 lies in the range of 1 to 4. Hence the numbers will be within the range of 1 and 2

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The length of the hypotenuse of a right triangle is $\sqrt{3}$ m.Lengths of other two sides are 1 m and $\sqrt{2}$ m respectively. To approximate the value of the new number $\sqrt{3}$ , we need to select the numbers and square them to see if its equal to 3.which of the following is the range of numbers we can select?

A right triangle has two sides of length 1 m each. Which one of the following is true about the length of the hypotenuse?

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The length of the hypotenuse of right triangle is √2 m. To find the approximate value of the new number √2, we need to select the numbers and square them and check if its equal to 2. Which of the following is the range of numbers we can select?

The correct option is C 1< hypotenuse < 2 Since, the length of hypotenuse is √2. We should select two numbers such that 2 is included in the range of their squares. 12 =122=4 Since 2 lies in the range of 1 to 4. Hence the numbers will be within the range of 1 and 2

The length of the hypotenuse of right triangle is $\sqrt{2}$ m. To find the approximate value of the new number $\sqrt{2}$ , we need to select the numbers and square them and check if its equal to 2. Which of the following is the range of numbers we can select?

The correct option is C
1< hypotenuse < 2

Since, the length of hypotenuse is $\sqrt{2}$ . We should select two numbers such that 2 is included in the range of their squares.

$1^{2} = 1 2^{2} = 4$

Since 2 lies in the range of 1 to 4. Hence the numbers will be within the range of 1 and 2