Answer:
C and A
Step-by-step explanation:
For the triangle to be isosceles then the legs are congruent, that is
XZ = XY , substitute values
5x - 1 = 3x + 5 ( subtract 3x from both sides )
2x - 1 = 5 ( add 1 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3 → C
(10)
The diagonals of a square bisect each other
Calculate PR using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(0, 0) and (x₂, y₂ ) = R(6, - 8)
PR = [tex]\sqrt{(6-0)^2}+(-8-0)^2[/tex]
= [tex]\sqrt{6^2+(-8)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Then
PT = 0.5 × 10 = 5 → A