Question

Show that ∆ ABC, where A(–2, 0), B(2, 0), C(0, 2) and ∆ PQR where P(–4, 0), Q(4, 0), R(0, 4) are similar triangles.

Answer 1

Step-by-step explanation:

by distance formula

Answer 2

$\triangle{ABC}$

$AB=4$

$BC=2\sqrt{2}$

$CA=2\sqrt{2}$

$\triangle{PQR}$

$PQ=8$

$QR=4\sqrt{2}$

$RP=4\sqrt{2}$

$4:2\sqrt{2} :2\sqrt{2} =8:4\sqrt{2} :4\sqrt{2}$

∴  $\triangle ABC \sim \triangle PQR$ ( SSS similarity )