Question

Determine each segment length in right triangle ABC.

4
9
12
15

Answer 1

The lengths 4, 9, and 12 do not form a right triangle, so we cannot determine the lengths of the segments.

Step-by-step explanation:

In a right triangle, we can use the Pythagorean theorem to determine the lengths of the sides. The theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Applying this to triangle ABC, we have:

a^2 + b^2 = c^2
4^2 + 9^2 = 12^2
16 + 81 = 144
97 = 144

However, this equation is not true, so the lengths 4, 9, and 12 do not form a right triangle. Therefore, we cannot determine the lengths of the segments in this case.