Answer: Hence the dimension of triangle are 15, 15 and 23.
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram attached.
Suppose two congruent sides of triangle are : x
Suppose the base of the triangle : y
As per question, the base of the triangle is seven less than two times the congruent sides lengths.
So,
.......................(1)
Now the perimeter of triangle is given as : 53
It means
![x+x+y=53](https://tex.z-dn.net/?f=x%2Bx%2By%3D53)
.......................(2)
Plugging the value of y from equation (1) in equation (2)
![2x+2x-7=53](https://tex.z-dn.net/?f=2x%2B2x-7%3D53)
![4x-7=53](https://tex.z-dn.net/?f=4x-7%3D53)
![4x=60](https://tex.z-dn.net/?f=4x%3D60)
![x=15](https://tex.z-dn.net/?f=x%3D15)
Plugging the value of x in equation (1)
![y=2\times (15)-7](https://tex.z-dn.net/?f=y%3D2%5Ctimes%20%2815%29-7)
![y=23](https://tex.z-dn.net/?f=y%3D23)
Hence the dimension of triangle are 15, 15 and 23. : Answer
Hope it will help :)