Question

rectangle pqrs is shown with its diagonals, overline{pr} and overline{qs}. what type of triangle is \triangle str? right triangle equilateral triangle isosceles triangle scalene triangle

Explanation:

Step1: Recall the property of rectangle's diagonals

In a rectangle, the diagonals are equal and bisect each other. So \(PT = QT=RT = ST\).

Step2: Analyze the sides of \(\triangle STR\)

Since \(RT = ST\), by the definition of an isosceles triangle (a triangle with at least two equal - length sides), \(\triangle STR\) has two equal sides.

Answer:

isosceles triangle