Question

In triangle PQR, PT is the perpendicular bisector of QR. Show
that triangle PQR is an isosceles triangle.
please l will mark him/her as the Brainliest​

Answer 1

Answer:

Triangle PQR is an isosceles triangle

Step-by-step explanation:

In triangle PQR

PT is the perpendicular bisector of QR.

Therefore Angle PTQ = Angle PTR = 90°

Also Seg QT = Seg RT -------- perpendicular bisector bisects the side QR

Therefore in Triangle PTQ and Triangle PTR

Seg QT = Seg RT

Angle PTQ = Angle PTR ----- Each 90°

Seg PT = Seg PT ------ Common side

therefore Triangle PTQ is congruent to Triangle PTR

Therefore Seg PQ = Seg PR --------- 1 corresponding

sides of congruent triangle

In Triangle PQR

Side PQ = Side PR

When in a triangle two sides are equal it is said to be isosceles triangle

Therefore Triangle PQR is an isosceles triangle --------

from 1

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