# Find the perimeter of the triangle if its mid-line is 6.9 and 10 cm.

May 28, 2021 | education

| Given:

triangle ABC,

OH – the middle line is parallel to the BC side,

КН – the middle line is parallel to the AB side,

OK – the middle line is parallel to the side of the speaker,

OH = 6 centimeters,

KН = 9 centimeters,

OK = 10 centimeters.

Find the lengths of the sides of the triangle P ABC -?

Decision:

Consider a triangle ABC. The middle line is half the length of the parallel side.

Then AC = 2 * OK;

AC = 2 * 10 = 20 (centimeters).

BC = 2 * OH;

BC = 2 * 6 = 12 (centimeters).

AB = 2 * KН;

AB = 2 * 9 = 18 (centimeters).

R ABC = 20 + 12 + 18 = 60 (centimeters)

Answer: 60 centimeters.

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