tskfrisby80 tskfrisby80
  • 16-08-2020
  • Mathematics
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Determine the value of x shown in the diagram

Determine the value of x shown in the diagram class=

Respuesta :

snog
snog snog
  • 16-08-2020

Answer:

x = 145

Step-by-step explanation:

If we look at the right triangle with sides of 24 and 30, we can find the missing leg using the Pythagorean Theorem. If we look carefully, we notice that 18:24:30 is basically the 3:4:5 Pythagorean Triple multiplied by 6, so the missing side is 18. If we look at the right triangle with sides of x and 24, we can find the missing side by calculating 161 - 18 = 143. Using the Pythagorean Theorem, we know that 143² + 24² = x² so x = 145.

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