Final answer:
To find the length of BC in triangle ABC with a 90 degree angle at A, we can use the Pythagorean theorem. Substituting the given values, we find that the length of BC is approximately 8.06 units.
Step-by-step explanation:
In triangle ABC, if angle A is 90 degrees and the length of AB is 1 unit and the length of AC is 8 units, we can use the Pythagorean theorem to find the length of BC. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, using the Pythagorean theorem, we have:
BC^2 = AB^2 + AC^2
Substituting the given values, we get:
BC^2 = 1^2 + 8^2 = 1 + 64 = 65
Taking the square root of both sides gives us:
BC = √65
Therefore, the length of BC is approximately 8.06 units.