To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse.
Therefore, the length of the hypotenuse can be calculated as follows:
hypotenuse length = √(side m^2 + side n^2)
hypotenuse length = √(6.1^2 + 11.48^2)
hypotenuse length = √(37.21 + 131.86)
hypotenuse length = √169.07
hypotenuse length ≈ 13 units
Therefore, the length of the hypotenuse of this triangle is approximately 13 units. This calculation shows that the length of the hypotenuse is equal to 13 units, thus confirming that the triangle is a right triangle.
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
1 answer