Find the length of side x I simplest radical form

Question

asked Jun 8, 2022 73.2k views

1 Answer

Lightalchemist · Answer 1 · 2022-06-14T20:55:56+0000

Answer:

Option A

Explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC =
√(61)

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² =
(√(61))^2 + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.