What can be determined about the triangle formed by the ground, wall, and ladder?

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A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is (square root 2 to the 6th power) feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder?

Answer :

Length of ladder = 12 foot

Distance from the base of wall to the base of ladder =(\sqrt{2})^6

Now, since, the height of the wall and the ground’s surface are perpendicular to each other.

Thus the triangle thus formed will be a right angled triangle.

Where Hypotenuse = 12 foot

Length of base = (\sqrt{2})^6 = 8 foot

By applying Pythagoras theorem ,

height of the wall = \sqrt{144-64}=\sqrt{80} foot

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