In a triangle with sides 37 and 10, heights are drawn to these sides.
| May 16, 2021 | education
In a triangle with sides 37 and 10, heights are drawn to these sides. the height drawn to the larger of these sides is 7. What is the height drawn to the smaller of these sides?
Let’s calculate the area of the triangle ABC through the larger base and the height to it.
Sас = ВС * АН / 2 = 37 * 7/2 = 129.5 cm2.
Let’s define the area of the triangle ABC through the smaller base and height.
Savs = AB * CK / 2.
SK = 2 * Savs / AB = 2 * 129.5 / 10 = 25.9 cm.
Answer: The height drawn to the smaller side is 25.9 cm.
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