Question

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

Explanation:

Step1: Recall rectangle properties

In a rectangle, the diagonals are equal and bisect each other. So in rectangle \(PQRS\) with diagonals \(PR\) and \(QS\) intersecting at \(T\), we have \(PT = RT\) and \(ST=QT\), and \(PR = QS\).

Step2: Analyze \(\triangle STR\)

Since the diagonals of the rectangle bisect each other, \(ST = RT\). A triangle with two equal - length sides is an isosceles triangle.

Answer:

isosceles triangle