Question

Classify abc by its sides A(2, 3), B(6, 3). C(2.7)y

Answer 1

Answer:  this triangle is isosceles

Step-by-step explanation:

A(2,3)    B(6,3)    C(2,7)

$AB=\sqrt{(6-2)^2+(3-3)^2} \\\\AB=\sqrt{4^2+0^2}\\\\ AB=\sqrt{4^2} \\\\AB=4\ units$

$BC=\sqrt{(2-6)^2+(7-3)^2} \\\\BC=\sqrt{(-4 )^2+(7-3)^2}\\\\BC=\sqrt{16+4^2}\\\\BC=\sqrt{16+16} \\\\BC=\sqrt{32} \\\\BC=4\sqrt{2} \ units$

$AC=\sqrt{(2-2)^2+(7-3)^2} \\\\AC=\sqrt{0^2+4^2} \\\\AC=\sqrt{4^2} \\\\AC=4\ units$

Hence, AB=AC

Thus, this triangle is isosceles