What is the value of DE if AB = 6, AD = 8, and BC = 3?
Responses
A 3.53.5
B 44
C 4.54.5
D 5
To find the value of DE, you can use the Pythagorean theorem.
First, we need to find the length of AC. Since AB is 6 and BC is 3, AC is the sum of their lengths, which is 6 + 3 = 9.
Now, we can use the Pythagorean theorem to find DE. With AC as the hypotenuse, AD as one side, and DE as the other side, we have:
DE^2 + AD^2 = AC^2
DE^2 + 8^2 = 9^2
DE^2 + 64 = 81
DE^2 = 81 - 64
DE^2 = 17
Taking the square root of both sides, we find DE = √17, which is approximately 4.12.
Therefore, the value of DE is approximately 4.12.