find the value of x in the given figure
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Answer:
10
Step-by-step explanation:
In Δ ADC
⇒ (AD)² + (DC)² = (AC)²
⇒ (8)² + (DC)² = (17)²
⇒ (DC)² = (17)² - (8)²
⇒ (DC)² = 289 - 64 = 225
∴ DC = 15
∴ BD = 21 - 15 = 6
Again in Δ ADB
⇒ (AD)² + (BD)² = (AB)²
⇒ (8)² + (6)² = (x)²
⇒ 64 + 36 = (x)²
⇒ x² = 100 ∴ x = 10
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