The height to the hypotenuse is drawn in a right-angled triangle. What angles does this height form with the legs
| December 3, 2020 | education
The height to the hypotenuse is drawn in a right-angled triangle. What angles does this height form with the legs if the larger of the acute angles of this triangle is 75 °?
Given:
ABC – right-angled triangle, 90B = 90 °, ∠A = 75 °, AB – smaller leg, BC – larger leg.
Find: angle НBA; angle НБС.
Decision:
Angle C = 180 ° -90 ° -75 ° = 15 °
HBA angle = 180 ° -90 ° -75 ° = 15 °
HBC angle = 180 ° -90 ° -15 ° = 75 °
Answer: angle НВА = 15 °, angle НВС = 75 °
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