Rectangle PQRS is shown with its diagonals, PR and QS. 

What type of triangle is △STR?
A.right triangle
B.equilateral triangle
C.isosceles triangle
D.scalene triangle

Rectangle PQRS is shown with its diagonals PR and QS What type of triangle is STR Aright triangle Bequilateral triangle Cisosceles triangle Dscalene triangle class=

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the answer is C. Isosceles Triangle .... 2 of the sides are equal

As shown in the figure of rectangle , triangle STR is an isosceles triangle.

What is triangle?

" Triangle is  defined as the two dimensional closed figure with three vertices , three sides and three angles enclosed in it."

What is isosceles triangle?

" In a triangle when two sides of a triangle are cogruent to each other."

According to the question,

Given,

Rectangle PQRS , with diagonal PR and QS

As per the property of rectangle, diagonals of rectangle are congruent  and bisect  each other.

Therefore,

[tex]PR = QS\\\\\implies \frac{PR}{2} = \frac{QS}{2} \\\\\implies TR = TS[/tex]

Therefore,

In triangle STR,

ST≅ TR

As per definition of an isosceles triangle we conclude,

Triangle STR is an isosceles triangle.

Hence, Option (C) is the correct answer.

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