The height CD is drawn in a right-angled triangle ABC (angle C-line). Find the lengths of lines AD

| January 9, 2021 | education

The height CD is drawn in a right-angled triangle ABC (angle C-line). Find the lengths of lines AD and BD if the hypotenuse is 12 cm and the CAB angle is 30 degrees.

In a right-angled triangle ABC, the leg BC lies opposite an angle of 300, then its length is equal to half the length of the hypotenuse AB.
BC = AB / 2 = 12/2 = 6 cm.
The ВСD triangle is rectangular, since the СD is the height of the ABC triangle.
СВD angle = 180 – 90 – 30 = 60.
Then the angle of ВСD = 180 – СDВ – СВD = 180 – 90 – 60 = 30.
The ВD leg lies opposite an angle of 300 and is equal to half the length of the ВС hypotenuse.
ВD = BC / 2 = 6/2 = 3 cm.
Determine the length of the blood pressure segment.
AD = AB – BD = 12 – 3 = 9 cm.
Answer: The length of the BP segment is 9 cm, the length of the BD segment is 3 cm.



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