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candy7693
17.12.2020 •
Mathematics
I need steps how to do this pls help
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Ответ:
Step-by-step explanation:
D(2, 1) E(3, 5) F(6, 2)
Part A
use the distance formula d= √(x2-x1)² +(y2-y1)²
DE = √(2-3)²+(1-5)² = √1 +16 = √17
EF= √(3-6)² +(5-2)² = √9 +9 = √18= √2*3*3= 3√2
DF = √(2-6)² +(1-2)² = √16 + 1= √17
Part B
slope is m= (y1-y1) / (x2-x1)
m of DE = (1-5) / (2-3) = -4/-1 = 4
m of EF = (5-2) / (3-6)= 3/-3 = -1
m of DF = (1-2) / (2-6) = -1/-4 = 1/4
Part C
the triangle has sides DE = DF = √17 and DE⊥DF because their slopes are negative reciprocals ( 4 and -1/4) so the triangle is an isosceles right triangle