In a right triangle ABC, where angle B is 90°, we are given the lengths of two sides:
AB = 6 cm (length of the side adjacent to angle B)
BC = 8 cm (length of the side opposite angle B)
To find the length of the hypotenuse, AC, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Applying the Pythagorean theorem, we have:
AC^2 = AB^2 + BC^2
AC^2 = 6^2 + 8^2
AC^2 = 36 + 64
AC^2 = 100
To find the value of AC, we take the square root of both sides:
AC = √100
AC = 10
Therefore, the length of AC is 10 cm.
~ Lady Brain