In triangle ABC: AB = BC = 6, angle = 150 degrees. Find the length of the CH height.
| September 1, 2021 | education
The height CH falls and falls on the continuation of the AB side. Consider a right-angled triangle BCH.
Find the degree measure of the СBН angle adjacent to the ABC angle.
180 ° – 150 ° = 30 °.
We get that the CH leg we need lies opposite an angle of 30 °, which means it is equal to half the BC (hypotenuse).
CH = 1/2 * BC = 3.
Answer: CH height is 3.
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