three sides of a triangle measure 3, 4 and 5 solve for the length of the shortest side of a similar triangle whose longest side has a length of 20?
To solve this problem, we can use the concept of similarity. Similar triangles have corresponding sides that are proportional to each other.
Let's label the three sides of the original triangle as a=3, b=4, and c=5.
Now, let's find the scaling factor between the longest side of the original triangle and the longest side of the new similar triangle:
scaling factor = (longest side of new triangle) / (longest side of original triangle) = 20 / 5 = 4
To find the length of the shortest side of the new triangle, we need to multiply each side of the original triangle by the scaling factor:
shortest side of new triangle = shortest side of original triangle * scaling factor = 3 * 4 = 12
Therefore, the length of the shortest side of the similar triangle with a longest side of 20 is 12.
if △abc is similar to △def and △ab=16 △df=3 and △ac=12 what is the length of de?
Since triangle ABC is similar to triangle DEF, their corresponding sides are proportional.
Given:
AB = 16
DF = 3
AC = 12
We want to find DE.
Using the concept of similarity, we can set up the following proportion:
AB / DE = AC / DF
Substituting the given values:
16 / DE = 12 / 3
Cross-multiplying:
16 * 3 = 12 * DE
48 = 12 * DE
Dividing both sides by 12:
48 / 12 = DE
4 = DE
Therefore, the length of DE is 4.
triangle nte is similar to triangle kla if la=8 en=125 and ak=5 what is the length of te?
If triangle NTE is similar to triangle KLA, their corresponding sides are proportional.
Given:
LA = 8
EN = 125
AK = 5
We want to find TE.
Using the concept of similarity, we can set up the following proportion:
LA / TE = EN / AK
Substituting the given values:
8 / TE = 125 / 5
Cross-multiplying:
8 * 5 = TE * 125
40 = 125 * TE
Dividing both sides by 125:
40 / 125 = TE
0.32 = TE
Therefore, the length of TE is approximately 0.32.
None of the given options (a, b, c, d) match the value of TE.
what's the answer???
Apologies for the confusion. Based on the given information and calculation, the length of TE is approximately 0.32.
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