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  • 09-03-2022
  • Mathematics
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what is the value of x in the diagram below?​

what is the value of x in the diagram below class=

Respuesta :

jimrgrant1 jimrgrant1
  • 09-03-2022

Answer:

C

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of big Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )

x² = 20 × (20 + 36) = 20 × 56 = 1120 ( take square root of both sides )

x = [tex]\sqrt{1120}[/tex] = [tex]\sqrt{16(70)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{70}[/tex] = 4[tex]\sqrt{70}[/tex]

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