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
