Triangle ABC is equilateral with sides 10 cm long. Triangle DEF is formed by drawing lines parallel to, and 1 cm away from, the
sides of triangle ABC as illustrated. Find the perimeter of triangle DEF.
1 answer:
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Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.
<h3>What is the Distance Formula?</h3>Distance formula is given as: .
Name the coordinates of the plot of and as follows:
A (0, 120)
B (140, 100)
C (140, 20)
D (0, 0)
Perimeter of the plot of land = AB + BC + CD + AD
AD = |120 - 0| = 120 ft
BC = |100 - 20| = 80 ft
Use the distance formula to find AB and CD:
AB = √[(140−0)² + (100−120)²]
AB = √20000
AB = 141.4 ft
CD = √[(140−0)² + (20−0)²]
CD= √20000
CD = 141.4 ft
Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.
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