Anita builds the square-root spiral starting from O. The first right triangle has both legs 1 unit, so the first hypotenuse OP1 = √2. Each next segment of length 1 is drawn perpendicular to the previous hypotenuse. The hypotenuse OP4 (the fourth point) has length equal to which value?

Question

Accepted Answer

√5. Each new triangle adds 1 to the square of the length: OP1 = √2, OP2 = √3, OP3 = √4, OP4 = √5. So OP4 = √5.

Anita builds the square-root spiral starting from O. The first right triangle has both legs 1 unit, so the first hypotenuse OP $1 = 2$ . Each next segment of length 1 is drawn perpendicular to the previous hypotenuse. The hypotenuse OP4 (the fourth point) has length equal to which value?

Step-by-Step Solution

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More Class 9 Real Numbers on the Number Line practice

Anita builds the square-root spiral starting from O. The first right triangle has both legs 1 unit, so the first hypotenuse OP1=2​. Each next segment of length 1 is drawn perpendicular to the previous hypotenuse. The hypotenuse OP4 (the fourth point) has length equal to which value?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Real Numbers on the Number Line practice

Anita builds the square-root spiral starting from O. The first right triangle has both legs 1 unit, so the first hypotenuse OP $1 = 2$ . Each next segment of length 1 is drawn perpendicular to the previous hypotenuse. The hypotenuse OP4 (the fourth point) has length equal to which value?