Respuesta:
Hallar las razones directas e inversas de los segmentos a y b, sabiendo que:
(1) a = 18 m, b = 24 m (3) a = 25 cm, b = 5 cm (5) a = 2.5 dm, b = 50 cm
(7) a = 5 Hm, b = 3 Dm (9) a = 6 mm, b = 3 cm
Segmentos proporcionales
Ejercicios Resueltos (pp. 100 – 103)
Hallar los dos segmentos sabiendo su suma (S) y su razón (r).
(11) S = 6, r = 1/2 (13) S = 12, r = 1/2 (15) S = 40, r = 3/5
1
18 m 3(6) 3 4 (1) 0.75 y 24 m 4(6) 4 3
25 cm 25 5 1 (3) 5 y 0.2 5 cm 5 25 5
2.5 dm 25 cm 1 2 (5) 0.5 y 2 50 cm 50 cm 2 1
5 Hm 50 (7) 3 Dm
a b
r r
b a
a
r
b
−
== = == ==
== = = == ==
== = == ===
== = 1
0 m 50 2 3 16 y 30 m 3 3 50
6 mm 6 mm 1 5 (9) 0.2 y 5 3 cm 30 mm 5 1
Explicación paso a paso:
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Respuesta:
Hallar las razones directas e inversas de los segmentos a y b, sabiendo que:
(1) a = 18 m, b = 24 m (3) a = 25 cm, b = 5 cm (5) a = 2.5 dm, b = 50 cm
(7) a = 5 Hm, b = 3 Dm (9) a = 6 mm, b = 3 cm
Segmentos proporcionales
Ejercicios Resueltos (pp. 100 – 103)
Hallar los dos segmentos sabiendo su suma (S) y su razón (r).
(11) S = 6, r = 1/2 (13) S = 12, r = 1/2 (15) S = 40, r = 3/5
1
1
1
18 m 3(6) 3 4 (1) 0.75 y 24 m 4(6) 4 3
25 cm 25 5 1 (3) 5 y 0.2 5 cm 5 25 5
2.5 dm 25 cm 1 2 (5) 0.5 y 2 50 cm 50 cm 2 1
5 Hm 50 (7) 3 Dm
a b
r r
b a
a b
r r
b a
a b
r r
b a
a
r
b
−
−
−
== = == ==
== = = == ==
== = == ===
== = 1
1
0 m 50 2 3 16 y 30 m 3 3 50
6 mm 6 mm 1 5 (9) 0.2 y 5 3 cm 30 mm 5 1
Explicación paso a paso: