Use the Distance Formula 3 times to determine what type of triangle DEF is if it has coordinates D(2, 1), E(3, 5), and F(6, 2). (Just write the number you get under the square root symbols in the blanks below, in order.) a) What is the length of DE? (5 points)

b) What is the length of EF? (5 points)

c) What is the length of DF? (5 points)

d) What type of triangle is DEF, Scalene, Isosceles, or Equilateral? (Watch your spelling) (5 Points)

See below

Step-by-step explanation:

Distance formula

Points given

Solution

Down Below

Step-by-step explanation:

a) DE = √(3-2)² + (5-1)² = √1+16 = √17

b) EF = √(6-3)² + (2-5)² = √9+9 = √18

c) DF = √(6-2)² + (2-1)² = √16+1 = √17

d) Isosceles triangle as DE = DF

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.

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