Answer: [tex]137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm[/tex]
Step-by-step explanation:
Let x be the equal sides of the triangle .
The , the third side would be x+113 cm.
The perimeter is the sum of all sides of a triangle.
So , The perimeter of triangle would be x+x+(x+113)= 3x+113 --------(1)
Since , it is given that the perimeter of triangle is 525. -----(2)
So from (1) and (2) , we have
[tex]3x+113=525\\\\ 3x=525-113=412\\\\ x=\dfrac{412}{3}=137\dfrac{1}{3}[/tex]
Then, third side = [tex]137\dfrac{1}{3}+113=250\dfrac{1}{3}\ cm[/tex]
Hence , the sides of a triangle are:[tex]137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm[/tex]
Answer: 1 16/45, 1 16/45, 2 31/45
Step-by-step explanation:
Say x is the equal side of the triangle.
The third side would be x+113 cm.
The perimeter is the sum of all sides of a triangle.
So, the perimeter of the triangle would be x+x+(x+113)= 3x+113
Since the triangle's perimeter is 5 2/5, 3x + 1 1/3 = 5 2/5.
1 1/3 is 1 5/15. 5 2/5 is 5 6/15. 5 6/15 - 1 5/15 = 4 1/15.
This means 3x = 4 1/15.
4 1/15 = 61/15
3x = 61/15
To make 3x into x, you can multiply it by 1/3.
3x*1/3 is x. 61/15*1/3 = 61/45.
x = 1 16/45 because 61/45 = 1 16/45.
The longer side is x + 1 1/3 so you have to add 1 1/3 to 1 16/45 which is
2 31/45.
So, the sides are 1 16/45, 1 16/45 and 2 31,45.
