Answer:
30:75:60
Step-by-step explanation:
I'm not sure if this is how you're supposed to solve it, but I'll give it my best shot.
1. Think of the 2:5:4 as "chunks". 2 Chunks:5 Chunks:4 Chunks. 2+5+4 is 11. We obviously have to use all of the 165 perimeter units, and we know the ratio already.
2. We need to take 165, and divide it by 11. This will give us what one "chunk" is. It equals 15.
3. Now that we know what one chunk is equal to, we can simply multiply.
2 Chunks * 15 Per Chunk = 30
5*15=75
4*15=60
So, our final answer is 30:75:60
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Checking, 30+75+60=165, so we used the whole perimeter.
The measure of sides of the triangle be 30, 75 and 60 unit.
Given,
the ratio of the measures three sides of triangles is 2:5:4.
The perimeter of triangle is 165 units.
Let the sides of triangle be 2x, 5x and 4x respectively.
We know that perimeter of triangle is sum of all sides, So
[tex]\rm P= 2x+5x+4x[/tex]
[tex]165=11x[/tex]
[tex]x=\dfrac{165}{11} \\\\[/tex]
[tex]x=15\\[/tex]
So the sides of triangle will be [tex]2\times15=30[/tex], [tex]5\times 15=75[/tex] and [tex]4\times15=60[/tex] units respectively.
Thus the sides of triangle are 30, 75 and 60 units.
For more details on perimeter of triangle follow the link:
https://brainly.com/question/24388271
