Question

What type of triangle is formed by the two diagonals of any square and any side of that square?

(a) Isosceles Triangle

(b) Right Angled Triangle

(c) Equilateral Triangle

(d) Isosceles Right Angles Triangle

The question was posed to me in a national level competition.

The above asked question is from Quadrilaterals topic in portion Quadrilaterals of Mathematics – Class 8

Answer 1

Right option is (d) Isosceles Right Angles Triangle

The explanation is: The figure shown below is the triangle formed by the diagonals and the side of any square. As we know that the diagonals of any square are perpendicular bisectors of each other. Hence the triangle formed would be isosceles right-angled triangle.