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