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svet-max [94.6K]
3 years ago
11

Los puntos (1,-2);(-8,4 y (5,2) son los vertices de un triangulo rectángulo su perimetro es aproximadamente

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

El perímetro del triángulo rectángulo es aproximadamente 29.627.

Step-by-step explanation:

Las coordendas de los vértices del triángulo rectángulo son A(x,y) = (1,-2), B(x,y) = (-8,4) y C(x,y) = (5,2). En primer lugar, determinamos las longitudes de los segmentos AB, BC y AC por el Teorema de Pitágoras:

AB = \sqrt{(-8-1)^{2}+[4-(-2)]^{2}}

AB \approx 10.817

BC = \sqrt{[5-(-8)]^{2}+(2-4)^{2}}

BC \approx 13.153

AC =\sqrt{(5-1)^{2}+[2-(-2)]^{2}}

AC \approx 5.657

El perímetro del triángulo (p) es la suma de todos estos segmentos:

p = AB + BC + AC

p \approx 29.627

El perímetro del triángulo rectángulo es aproximadamente 29.627.

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