The perimeter of the ABC triangle is 38 cm, the AB side = 13 cm. The BC side is 5 cm

The perimeter of the ABC triangle is 38 cm, the AB side = 13 cm. The BC side is 5 cm larger than the AC side. Calculate the lengths of the unknown sides of a given triangle.

Given:
triangle ABC,
the ABC perimeter is 38 centimeters,
AB = 13 centimeters,
BC – AC = 5 centimeters.
Find the lengths of the sides of the triangle BC and AC -?
Solution:
Consider a triangle ABC.
The perimeter of a triangle is the sum of the lengths of all its sides.
Let us express the side of the sun:
BC = AC + 5.
Then the perimeter of the triangle ABC will be equal to:
AB + BC + AC = 38;
Since AB = 13 centimeters, and BC = AC + 5, then
13 + AC + 5 + AC = 38;
2 * AC + 18 = 38;
2 * AC = 38 – 18;
2 * AC = 20;
AC = 10 centimeters;
BC = 10 + 5;
BC = 15 centimeters.
Answer: 10 centimeters; 15 centimeters.




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