Respuesta :
Answer:
so x + 2x+10 + 3x is 6x+10 then set it to equal 142. x = 22 quick maths and then just set this to every side
so
shortest side:
22
medium:
54
longest: 66.
hope this helped, Mark branliest!
The length of the longer side, medium side and shorter side of the triangle of Ella is 66 cm, 54 cm and 22 cm long respectively.
What is perimeter of plane?
The measure of the boundary of a plane or shape is called its perimeter. Perimeter of a plane or shape is the sum of all the sides.
Ella is trying to determine the side lengths of a triangle. Let suppose the longer side of this triangle is x meter long.
Now the longest side is three times longer than the shortest side. Thus, the length of shorter side is,
[tex]\rm Shorter\;Side=\dfrac{x}{3}[/tex]
The medium side is 10 more than the twice the shorter side. Thus, the length of the medium side is,
[tex]\rm Medium \;Side=2(\dfrac{x}{3})+10\\\rm Medium \;Side=\dfrac{2x}{3}+10[/tex]
The perimeter of this triangle is 142cm. Thus,
[tex]x+\dfrac{x}{3}+\dfrac{2x}{3}+10=142\\\dfrac{3x+x+2x}{3}=142-10\\6x=132\times3\\x=\dfrac{132\times3}{6}\\x=66\rm\; cm[/tex]
Thus, the length of the larger side is 61 cm. The length of the shorter and mediam side is,
[tex]\rm Shorter \;Side=\dfrac{66}{3}=22\\\rm Medium \;Side=\dfrac{2(66)}{3}+10=54[/tex]
Hence, the length of the longer side, medium side and shorter side of the triangle of Ella is 66 cm, 54 cm and 22 cm long respectively.
Learn more about the perimeter of plane here;
https://brainly.com/question/1662271
