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Sagot :
The length up the wall does the ladder reach is 2.59 meter
What is Pythagorean theorem?
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
What is Right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
Given,
Length of the ladder = 2.9 meter
Distance from base to wall = 1.3 meter
Draw the figure using the given data
Apply Pythagorean theorem
[tex]AB^{2}+BC^{2}= AC^{2}\\ AB^{2}=AC^{2}-AC^{2} \\ AB^{2}=2.9^{2}-1.3^{2}\\ AB^{2}=6.72\\ AB=\sqrt{6.72}[/tex]
AB=2.59 meter
Hence, the length up the wall does the ladder reach is 2.59 meter
Learn more about Pythagorean theorem and Right triangle here
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