The perimeter of triangle ABC is 56 cm. Side BC is 4 cm larger than side AB
September 2, 2021 | education
| The perimeter of triangle ABC is 56 cm. Side BC is 4 cm larger than side AB, and side A is 2 times larger than side AB. Find the sides of the triangle.
Conditions of the problem:
ABC perimeter – 56 cm,
Sun -? 4 cm more AB,
AB -? cm,
AC -? 2 times more AB.
x cm – side AB of triangle ABC,
x + 4 – side BC of triangle ABC,
x * 2 – side AC of triangle ABC,
Let’s make an equation and solve it
x + x + 4 + x * 2 = 56,
4 * x = 56 – 4,
4 * x = 52,
x = 52/4,
x = 13 cm side AB of triangle ABC,
13 + 4 = 17 cm BC side of triangle ABC,
13 * 2 = 26 cm AC side of triangle ABC.
Answer: in triangle ABC 13 cm side AB, 17 cm side BC, 26 cm side AC.
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