What is the relationship of the sides in this triangle based on the Pythagorean Theorem?
(1 point)
m^2+n^2=
M=28
N=62
Based on the Pythagorean Theorem, the relationship of the sides in a right triangle can be represented as follows:
a^2 + b^2 = c^2
where "a" and "b" are the lengths of the two shorter sides (legs) of the triangle, and "c" is the length of the longest side (hypotenuse) of the triangle.
In this case, we are given that one of the legs is equal to 28 (m = 28) and the other leg is equal to 62 (n = 62).
Using the Pythagorean Theorem equation, we can plug in the given values to solve for the hypotenuse (c):
28^2 + 62^2 = c^2
784 + 3844 = c^2
4628 = c^2
Taking the square root of both sides, we find:
c ≈ √4628
Therefore, the length of the hypotenuse in this triangle is approximately 68.072, based on the given values.