Question

I need help anyone can anyone help

Answer 1

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

• $x+15$

• $4x-7$

• $2x$

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

$P = (x+15)+(4x-7)+(2x)$

substitute P = 57

$57 = (x+15)+(4x-7)+(2x)$

switch sides

$\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57$

$x+15+4x-7+2x=57$

Group like terms

$x+4x+2x+15-7=57$

Add similar elements

$7x+15-7=57$

$7x=49$

divide both sides by 7

$\frac{7x}{7}=\frac{49}{7}$

simplify

$x=7$

Now, measuring the lengths by substituting x = 7

• $x+15 = 7+15 = 22$

• $4x-7 = 4(7)-7 = 28 - 7 = 21$

• $2x = 2(7) = 14$

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

   

Answer 2

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer