ΔPQR is an equilateral triangle. X, Y, Z are the mid-points of the sides and A, B, C are the mid-points of sides of ΔXYZ. If the perimeter of ΔPQR is 8.4 cm, then the perimeter of ΔABC =
Correct option is (B) a right angled triangle
\(\because5^2+12^2\) = 25+144
= 169 \(=13^2\)
\(\therefore PQ^2+QR^2=PR^2\) which is a condition that \(\triangle PQR\) is a right angled triangle.
(By converse of Pythagoras theorem)