two vertical poles have heights of 6ft and 12 ft. two ropes are stretched from the top of each pole to the bottom of the other. how far above the ground do the ropes intersect each other? (r3 – similarity

The square of the hypotenuse equals the square of the sum of the other two sides is 13.89ft

Definition Of Pythagoras Theorem :

The Pythagorean theorem states that the total of the squares on a right triangle’s legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.

Given:

Height of the Tent Pole = 6ft.

Base of the Pole of the Tent = 12ft.

Now we will use Pythagoras theorem to find how long the rope is.

hypotenuseequals the square of the sum of the other two sides is 13.89ftPythagoreantheorem states that the total of the squares on a right triangle’s legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popularalgebraicform, a2 + b2 = c2.Heightof the Tent Pole = 6ft.Pythagoras theoremPythagoras theoremhere