Question

How do you write an expression to represent the perimeter of triangle whose side measurement are $5x+3,2x-7,9x?$

Answer 1

Hint: $\left( 1 \right)$ We know that, a triangle having three sides. Consider $a,b,c$ where sides of the triangle are given.
$\left( 2 \right)$ So, we can say that the perimeter of the triangle is the sum of all the three sides. The formula we have to use for the perimeter of the triangle $=$ sum of all three sides.
$\left( 3 \right)$ If we can see for the units, the unit for the length of his sides is different, for that first convert into the same unit.

Complete step-by-step solution:
Here,
We have the perimeter of triangle whose sides are given which is $5x+3,2x-7$ and $9x.$
So,
We Know that the perimeter of a triangle is the sum of all the three sides.
We have to add the expression for the three sides together.
Therefore,
Perimeter of triangle $=$ sum of all three sides.
$=5x+3+2x-7+9x$
$=16x-4$

$\therefore $ The perimeter of the triangle is $16x-4$

Note: $\left( 1 \right)$ Similarly, there are also various methods such as perimeter of an isosceles triangle, and perimeter of an equilateral triangle.
$\left( 2 \right)$ So, the perimeter of an isosceles triangle $a+b+c,$ since, here the sides $AB$ and $AC$ have equal length. Then the formula is for perimeter of isosceles triangle $=a+a+c$ or $b+b+c.$ This can also written as $2a+c$ or $2b+c$
$\left( 3 \right)$ On other side perimeter of equilateral triangle $=a+b+c$ are equal in length.
The formula we use for it is $a+a+c$ or $b+b+c$ or also it can written as $2a+c$ or $2b+c$