Home > Triangles > Triangle problem – finding height with given area and angles.

Triangle problem – finding height with given area and angles.

If the area of triangle ABC is {\cal S} and angles \angle A= \alpha and \angle B= \beta then find a altitude of triangle which drawn from C to AB.

HINT: Let altitude be h. AC = \frac{h}{ \sin \beta } \; and \; BC = \frac{h}{ \sin \alpha } \; \angle ACB = \pi - \alpha - \beta

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