The perimeter of triangle ABC is 42 cm, with side AB equal to 1/4 of the perimeter, and side BC
| August 10, 2021 | education
The perimeter of triangle ABC is 42 cm, with side AB equal to 1/4 of the perimeter, and side BC 1.4 times larger than AB. Find the sides of the triangle.
Let’s find the side AB of the triangle ABC.
AB = 1/4 ∙ 42 cm = 10.5 (cm).
Now let’s calculate the BC side of the triangle.
BC = 1.4 ∙ AB = 1.4 ∙ 10.5 cm = 14.7 (cm).
Knowing the perimeter of the triangle ABC, we determine the side of the AC.
AC = P – AB – BC = 42 cm – 10.5 cm – 14.7 cm = 16.8 (cm).
Answer: AB = 10.5 cm; BC = 14.7 cm; AC = 16.8 cm.
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