Mathematics: Two sides of a triangle have the same length. the remaining side is one third as long as each of the other sides. if the perimeter of the triangles is 315cm, what is the length of each side?

Two sides of a triangle have the same length. the

graymonky12

14.01.2022

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 $\dfrac{x}{3}$

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

AB = AC = x

$BC=\dfrac{x}{3}$

We know that very Perimeter of a Triangle is given by the sum of all the sides,

$\textrm{Perimeter of a Triangle ABC}=AB+BC+AC$

Substituting the values we get

$315=x+\dfrac{x}{3}+x=\dfrac{7x}{3}\\\\x=\dfrac{945}{7}=135\\\\\therefore x=135\ cm$

substituting 'x' for the third side we get

$BC=\dfrac{135}{3}=45\ cm$

Therefore,

$AB = AC = 135\ cm$

$BC=45\ cm$

Therefore the length of each sides are 135 cm , 135 cm and 45 cm.

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