celestp24
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What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)?


A. equilateral triangle

B. isosceles triangle

C. right triangle

D. acute scalene triangle

E. obtuse scalene triangle

Respuesta :

amna04352

Answer:

C. Right-angle triangle

Step-by-step explanation:

Lengths:

DE = sqrt[(8-7)² + (1-3)²]

DE = sqrt(5)

DF = sqrt[(4-7)² + (-1-3)²]

DF = sqrt(25) = 5

EF = sqrt[(4-8)² + (-1-1)²]

EF = sqrt(20)

DF² = DE² + EF²

25 = 5 + 20

25 = 25

Satisfies pythagoras theorem