Side m is approximately 6.1 units, side n is
approximately 11.48 units, and side o is 13
units. What is the length of the hypotenuse
of this triangle? How do you know?
To determine the length of the hypotenuse of the triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
The formula can be written as follows:
c^2 = a^2 + b^2
In this case, side a is 6.1 units (side m), side b is 11.48 units (side n), and we need to find side c, the hypotenuse.
Plugging in the values, we get:
c^2 = 6.1^2 + 11.48^2
c^2 = 37.21 + 132.1904
c^2 = 169.4004
To find the length of the hypotenuse (c), we need to take the square root of both sides:
c = √169.4004
c ≈ 13.0159
Therefore, the length of the hypotenuse of this triangle is approximately 13.0159 units.