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What is the length of the line?Answers:A. 6.5 B. 7C. 35 *square root symbol*D. 37 *square root symbol*

What is the length of the line?Answers:A. 6.5 B. 7C. 35 *square root symbol*D. 37 *square-example-1
User Teppie
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1 Answer

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25 votes

Answer

Option D is correct.

Length of the line = √37

Explanation

We first make the accurate and logical assumption that each of those small boxes is a square box with length 1 unit.

It is evident that the line extends over 6 boxes horizontally, and only 1 unit vertically.

We can see that the line in conjunction with the horizontal and vertical axis forms a right angled triangle where the length of the line is the hypotenuse side while the other two sides measure 6 units and 1 unit respectively.

Using Pythagoras theorem, the hypotenuse side is related to the other two other sides of a right angled triangle (named side a and side b for easy description)

(Hypotenuse)² = a² + b²

Hypotenuse = ?

a = 6 units

b = 1 unit

(Hypotenuse)² = 6² + 1²

(Hypotenuse)² = 36 + 1 = 37

(Hypotenuse)² = 37

Hypotenuse = √37

Hence, option D is correct.

Hope this Helps!!!

User Adam Prescott
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