Applying the Pythagorean Theorem and using the rules of significant digits, the length of the other leg of the right triangle is approximately 2.61 meters.
Recall:
- Pythagorean Theorem is given as: [tex]a^2 + b^2 = c^2[/tex]
- a and b are the two other legs of a right-angled triangle, while c is the hypotenuse.
Using the Pythagorean Theorem, we are going to find the length of the other leg of the triangle that has:
- a = 2.70 m (a leg)
- c = 7.76 m (hypotenuse)
- Substitute and find the value of b (the other leg).
[tex]2.27^2 + b^2 = 7.76^2\\\\b = \sqrt{7.76^2 - 2.27^2} \\\\b = 2.607[/tex]
Therefore, applying the Pythagorean Theorem and using the rules of significant digits, the length of the other leg of the right triangle is approximately 2.61 meters.
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