Question

Find the length of the third side. If necessary, round to the nearest tenth.

Answer 1

Answer:

Adjacent, b = 5.3 units

Step-by-step 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