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Margaret [11]
3 years ago
9

Triangle QST is isosceles, and bisects T.

Mathematics
2 answers:
pychu [463]3 years ago
6 0

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,

TR=TR                                (common side)

\angle STR=\angle QTR                        (Bisector)

TQ=TS                        (Isosceles triangle)

By SAS rule,

\triangle STR\cong \triangle QTR

QRT=SRT                        (CPCTC)

Bisector of an isosceles triangle is the altitude of triangle.

\angle QRT=90^{\circ}

Therefore options 1 and 2 are correct.

AnnyKZ [126]3 years ago
3 0
<h3><u>Answer;</u></h3>
  • QRT = 90°
  • QRT = SRT
<h3><u>Explanation;</u></h3>
  • 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
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