SOLUTION: A triangle has side lengths measuring 30, 40, and 50 units. What is the length of its shortest altitude, in units?
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Question 909429: A triangle has side lengths measuring 30, 40, and 50 units. What is the length of its shortest altitude, in units?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
A triangle has side lengths measuring , , and units is an right angle triangle.
In a right triangle the three altitudes are: , (the first two of which equal the leg lengths and respectively) and they are related according to
plug in and
and find
...so, this is the length of shortest altitude
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