Answer:
TV = 8 , SV = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
given ST = TV , then
TV = 8
using Pythagoras' identity in the right triangle
SV² = ST² + TV² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )
SV = [tex]\sqrt{128}[/tex] = [tex]\sqrt{64(2)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex] = 8[tex]\sqrt{2}[/tex]
