Периметр треугольника равен 70см. Найдите длины сторон треугольника, если АВ относится к ВС как 3:4, а ВС относится к АС как 6:7.

Периметр треугольника равен 70см. Найдите длины сторон треугольника, если АВ относится к ВС как 3:4, а ВС относится к АС как 6:7.
- Предмет:
  Алгебра
- Автор:
  gavingarner
- 5 лет назад

Ответы 1

$AB:BC=3:4\\AB= \frac{3BC}{4} \\\\BC:AC=6:7\\AC= \frac{7BC}{6} \\\\AB+BC+AC=70\\\\ \frac{3BC}{4} +BC+ \frac{7BC}{6} =70|*12\\\\9BC+12BC+14BC=70*12\\\\35BC=70*12|:35$ $BC=24\\\\AB= \frac{3*24}{4}=3*6=18\\\\AC= \frac{7*24}{6}=7*4=28$ Проверка: 18+24+28=70(см)Ответ: 18 см, 24 см, 28 см
- Автор:
  vanessabeyl
- 5 лет назад
- 0
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So, you are students of South-Russia State
Technical University. Our congratulations!
You passed your entrance examinations
successfully and entered one of the best
and biggest Universities of our country.
The academic year consists of two terms:
the autumn term and the spring term. In
January and June the students have their
examinations. Teaching is by lectures,
seminars and practical laboratory classes.
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framework of knowledge. Seminars give the
opportunity for group discussion of a topic
with a member of academic staff. Laboratory classes in all faculties provide
the opportunity to gain essential practical
skills and are specifically organised so that
students learn by their own practical
experiments.
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time on week days. They study many
different subjects such as higher
mathematics, chemistry, physics, descriptive
geometry, strength of materials, informatics,
foreign languages, economics, history and
many others.
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Периметр треугольника равен 70см. Найдите длины сторон треугольника, если АВ относится к ВС как 3:4, а ВС относится к АС как 6:7.

Ответы 1

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