Question

In triangle ABC, where AB is 4 units long, and BC is 8 units long, what is the possible length of AC that would satisfy the condition?

A) 12 units

B) 6 units

C) 10 units

D) 5 units

Answer 1

To find the possible length of AC in the triangle ABC, we can use the Pythagorean theorem. It gives us a length of approximately 8.94 units which can be rounded up to 9 units.

Step-by-step explanation:

To find the possible length of AC, we can use the Pythagorean theorem. In a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC).

In this case, since AB is 4 units long and BC is 8 units long, we have:

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 8^2

AC^2 = 16 + 64

AC^2 = 80

Taking the square root of both sides:

AC = √80

AC ≈ 8.94 units

Since AC must be a whole number, the possible length of AC is 9 units.