In a certain right triangle, the two sides that are perpendicular to each other have lengths h = 4.40 m and b = 8.70 m. What is the length of the third side of the triangle?
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Google pythagorean theorem
To find the length of the third side of the right triangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have the two sides perpendicular to each other with lengths h = 4.40 m and b = 8.70 m. We want to find the length of the third side, which we can call c.
According to the Pythagorean theorem, we have the equation:
c^2 = h^2 + b^2
Substituting the given values, we have:
c^2 = (4.40)^2 + (8.70)^2
Calculating the squares and sum:
c^2 = 19.36 + 75.69
c^2 = 95.05
To find the length of c, we can take the square root of both sides:
c = sqrt(95.05)
Using a calculator, we find that c ≈ 9.75 m.
Therefore, the length of the third side of the right triangle is approximately 9.75 meters.