The perimeter of the DCE triangle is 26 cm, CK is the height of the triangle.

The perimeter of the DCE triangle is 26 cm, CK is the height of the triangle. The perimeter of the DCK is 16 cm and the perimeter of the KCE is 20 cm. Find the length of the height CK.

Given:

DCE triangle,

P DCE = 26 centimeters,

CK – height,

P DCK = 16 centimeters,

P KCE = 20 centimeters.

Find the length of the height CK -?

Decision:

Consider triangle DCE. Its perimeter is:

P DCE = P DCEK + P SEK – 2 * CK;

2 * CK = P DCEK + P SEC – P DCE;

2 * CK = 16 + 20 – 26;

2 * SC = 36 – 26;

2 * CK = 10 (in order to find an unknown factor, you need to divide the product by a known factor);

CK = 10: 2;

CK = 5 centimeters.

Answer: 5 centimeters.