In a triangle ABC AC = BC, the height AH is 4 and the angle C is 30 find AC.

univerkov | January 4, 2021 | education

AH is the height of the ABC triangle, then the ACН triangle is rectangular with the ACН angle = 30. The AН leg is located opposite the angle 30, and therefore is equal to half the length of the AC hypotenuse.
AH = AC / 2. Then AC = 2 * AH = 2 * 4 = 8cm.
Answer: The length of the speaker side is 8 cm.

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