Question

Find the value of x so the triangles have the same perimeter.

Answer 1

Answer: The required value of x is 20.

Step-by-step explanation: We are given to find the value of x from the figure so that the triangles have the same perimeter.

From the figure, we note that

the lengths of the sides of first triangle are 5, x-4 and x-5.

And, the lengths of the sides of the second triangle are 10, 16 and x-10.

Since both the triangles have the same perimeter, so we get

`5+x-4+x-5=10+16+x-10\\\\\Rightarrow 2x-4=x+16\\\\\Rightarrow 2x-x=16+4\\\\\Rightarrow x=20.`

Thus, the required value of x is 20.

Answer 2

I hope this helps you




5+x-5+x-4=10+16+x-10


2x-4=16+x


2x-x= 16+4


x=20


perimeter = 2x-4=2.20-4=36