What type of triangle is formed by joining the points#D(7, 3), E(8, 1),# and #F(4, -1)#?

1 Answer
sankarankalyanam
Oct 25, 2017

It’s a right angle triangle.

Explanation:

#DE^2 = (7-8)^2+(3-1)^2 = 5#

#EF^2 = ((8-4)^2+(1-(-))^2)= 20 #

#DF^2 = ((7-4)^2+(3-(-1)^2 = 25#

Three sides are #sqrt5, 2sqrt5, 5#

As #DE^2 + EF^2 = DF^2 #, #(5+20 = 25)#,

its a right angle triangle.

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