In triangle ABC, angle C = 20 degrees, angle B = 115 degrees, height BH = 8 cm. Find HA
June 10, 2021 | education
| Determine the value of the angle BAC of the triangle ABC.
The sum of the inner angles of the triangle is 180, then the angle BAC = (180 – ABC – ACB) = (180 – 115 – 20) = 45.
The height BH forms a right-angled triangle ABH in which one of the acute angles is 45, and therefore the legs of such a triangle are equal. AH = BH = 8 cm.
Answer: The length of the segment AH is 8 cm.
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