Question

Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B √34 C 6 D √41

Answer 1

Complete Question:

Find the attached image for the diagram of the question

A. 3   B √34   C √65   D √41

Answer:

The length of x, is √65

Step-by-step explanation:

To determine the length, x, we are going to apply Pythagoras theorem;

Consider triangle ABC;

BC² = AB² + AC²

5² = 3² + AC²

AC² = 5²  - 3²

AC² = 25 - 9

AC² = 16

AC = √16

AC = 4

Now, we can calculate length, x

Consider triangle ACD

AD² = AC² + CD²

x² = 4² + 7²

x² = 16 + 49

x² = 65

x = √65