Answer:
Adjacent, b = 5.3 units
Explanation:
Let the length of sides of the triangle be;
- Opposite side = a
- Adjacent side = b
- Hypotenuse side = c
From the right-angle triangle, we can deduce the following data;
Hypotenuse, c = 8
Opposite, a = 6
To find the length of the adjacent (third) side, we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
8² = 6² + b²
64 = 36 + b²
Rearranging the equation (collecting like terms), we have;
b² = 64 - 36
b² = 28
Taking the square root of both sides, we have;
b = √28
Adjacent, b = 5.3 units