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A triangle has legs 5 and 12.  Find the distance of the altitude to the hypotenuse.

 May 17, 2020
 #1
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The distance to the hypothesis is 14.

 May 17, 2020
 #2
avatar+23566 
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Seriously doubt that the distance to the 'hypothesis' is 14 .....longer than either of the legs...longer than the hypotenuse (13) ..... cheeky

ElectricPavlov  May 18, 2020
edited by ElectricPavlov  May 18, 2020
 #3
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Is it the right triangle??? cheeky

 May 18, 2020
edited by Guest  May 18, 2020
 #4
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There are ONLY 4 hypotenuses possible:13, 14, 15 and 16

 

The altitudes to the hypotenuse are as follows respectively: 4.615,  4.176,  3.538  and  2.583

 May 18, 2020
 #5
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Nope, there's only one hypotenuse for this right triangle, and its length is 13.

 

Altitude    L = (5 * 12 )/13    smiley

Dragan  May 18, 2020
edited by Guest  May 18, 2020
 #6
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Dragan: Why are you CERTAIN that it is a "right triangle"? The question doesn't say so. Isn't it possible to have triangles with: 14, 12, 5 or 15, 12, 5 or 16, 12, 5 side lengths?

Guest May 18, 2020
 #7
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When you speak of 'hypotenuse'   and 'legs' you are describing a right triangle .....

ElectricPavlov  May 18, 2020
 #8
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Pavlov answered your question, but I'll say it again: the longest side of a right-angled triangle is called the hypotenuse. Squares and rectangles have their hypotenuses, and they are called diagonals.smiley

Dragan  May 19, 2020

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