Respuesta :

Answer;

  • QRT = 90°
  • QRT = SRT

Explanation;

  • An isosceles triangle is a type of triangle which has two sides equal, the base angles of this triangle are also equal or congruent.
  • From the Isosceles triangle theorem, the perpendicular bisector of the base of an isosceles triangle also bisects the vertex angle. Thus, SR = RQ and   ∠STR = ∠QTR .
  • Thus; angle QRT is right angled, as TR acts as a perpendicular bisector of the base. Also SRT =QRT

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

Given information: Triangle QST is isosceles, and bisects T.

In triangle QRT and SRT,

[tex]TR=TR[/tex]                                (common side)

[tex]\angle STR=\angle QTR[/tex]                        (Bisector)

[tex]TQ=TS[/tex]                        (Isosceles triangle)

By SAS rule,

[tex]\triangle STR\cong \triangle QTR[/tex]

[tex]QRT=SRT[/tex]                        (CPCTC)

Bisector of an isosceles triangle is the altitude of triangle.

[tex]\angle QRT=90^{\circ}[/tex]

Therefore options 1 and 2 are correct.

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