alahigoalie
alahigoalie alahigoalie
  • 23-02-2021
  • Mathematics
contestada

please help:)

find x
its a right triangle so side AT and side AP are congruent​

please helpfind xits a right triangle so side AT and side AP are congruent class=

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sqdancefan
sqdancefan sqdancefan
  • 23-02-2021

9514 1404 393

Answer:

  23

Step-by-step explanation:

The ratios of side lengths in an isosceles right triangle are ...

  1 : 1 : √2

Multiplying these by 23 gives ...

  23 : 23 : 23√2

The lengths of AT and AP are both 23.

  x = 23

_____

If you like, you can use the Pythagorean theorem.

  PT² = AP² +AT²

  (23√2)² = x² +x²

  2(23²) = 2(x²) . . . . . rearrange

  x = 23 . . . . . . . . . . . divide by 2, take the square root

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