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.
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?
1 answer