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Morgarella [4.7K]
2 years ago
10

Find the length of side x I simplest radical form​

Mathematics
1 answer:
alekssr [168]2 years ago
7 0

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = \sqrt{61}

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = (\sqrt{61})^2 + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.

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