Answer:
Therefore the length of each sides of a triangle are 135 cm , 135 cm and 45 cm.
Step-by-step explanation:
Let the two sides of a triangle having same length be 'x' cm
According to given condition the third side will be [tex]\dfrac{x}{3}[/tex]
Perimeter of the triangle = 315 cm.
To Find:
what is the length of each side =?
Solution:
Let we name the triangle as ΔABC having sides
[tex]AB = AC = x[/tex]
[tex]BC=\dfrac{x}{3}[/tex]
We know that very Perimeter of a Triangle is given by the sum of all the sides,
[tex]\textrm{Perimeter of a Triangle ABC}=AB+BC+AC[/tex]
Substituting the values we get
[tex]315=x+\dfrac{x}{3}+x=\dfrac{7x}{3}\\\\x=\dfrac{945}{7}=135\\\\\therefore x=135\ cm[/tex]
substituting 'x' for the third side we get
[tex]BC=\dfrac{135}{3}=45\ cm[/tex]
Therefore,
[tex]AB = AC = 135\ cm[/tex]
[tex]BC=45\ cm[/tex]
Therefore the length of each sides are 135 cm , 135 cm and 45 cm.
