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The triangle formed by the diagonals of a rectangle and its sides are similar by which test?(a) SAS(b) SSS(c) AA(d) Not similarThe question was posed to me in a national level competition.The origin of the question is Special Cases in Polygons in division Quadrilaterals of Mathematics – Class 8

Answer»

Correct option is (a) SAS

For explanation: The triangle formed by a side of a rectangle and the DIAGONALS have,

(i) Side 1 (DIAGONAL)

(ii) ANGLE (vertically opposite angle)

(iii) Side 2 (diagonal)

Hence the TRIANGLES are similar by SAS test of similarity.



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