Question

the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?

Answer 1

Answer:

$x-9$

Step-by-step explanation:

$side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9$

Answer 2

The length of the third side in terms of x is x+1.

What is the perimeter of the triangle?

The perimeter of a triangle is the sum of all its three sides.

We can work out the perimeter using the following formula:

The perimeter of a triangle is = sum of all three sides.

The length of the third side in terms of x is given by;

$\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c$

Substitute all the values in the formula

$\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1$

Hence, the length of the third side in terms of x is x+1.

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