ABO-triangle AB = 14 cm, BO = 21cm, OO1 = 18cm, find the height of AO2AO2 height to the base of BO
| March 2, 2021 | education
ABO-triangle AB = 14 cm, BO = 21cm, OO1 = 18cm, find the height of AO2AO2 height to the base of BO, OO1 height to the base of AB.
Consider the ABO triangle. From its area you can find h.
Let’s use the formula for the area of a triangle:
S = a * h / 2, where h is the height, and is the side to which the height is drawn.
From the formula it follows: AB * OO1 = BO * AO2.
Since we need to find AO2, from here follows AO2 = AB * OO1 / BO.
Let’s substitute the data and calculate: AO2 = 14 * 18/21 = 12 cm.
Answer: AO2 = 12 cm.
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