Question

I WILL GIVE YOU BRAINLIEST!!!!! The first side of a triangle is three times as long as the second side, and the third side is 50 cm shorter than the first side. Find all sides of the triangle if its perimeter is 370 cm. PLS HELP ME!!!!!!!

Answer 1

Answer:

The first side of the triangle = 180 cm

The second side of the triangle = 60 cm

The third side of the triangle =130 cm

Step-by-step explanation:

To solve this, we will follow the steps below;

First, re-write the question in a mathematical format and then solve;

let a=the first side of the triangle

b=the second side of the triangle     and

c=the third side of the triangle

"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:

a=3b ------------------------------------------------(1)

"the third side is 50 cm shorter than the first side" can be re-write as :

c=a-50-----------------------------------------------(2)

"perimeter is 370"  can be re-write as:

a + b + c = 370 --------------------------------------(3)

from equation (2), make b subject of the formula; a= 3b

b=a/3  ------------------------------------(4)

substitute equation (2)   and (4) into equation (3)

a + b + c = 370

a+$\frac{a}{3}$ + a-50 = 370

add 50 to both-side of the equation

a+$\frac{a}{3}$ + a-50 + 50= 370 + 50

a+$\frac{a}{3}$ + a= 420

$\frac{3a + a + 3a}{3}$  = 420

$\frac{7a }{3}$ = 420

multiply both-side of the equation by 3

$\frac{7a }{3}$ ×3= 420×3

7a = 1260

Divide both-side of the equation by 7

$\frac{7a}{7}$  =  $\frac{1260}{7}$

a= 180

from equation (4)   b = a/3

b = 180/3 = 60

from equation (2)  c= a- 50

c= 180 - 50

c= 130

a=   180 cm    

b = 60 cm

c= 130 cm

Therefore,the first side of the triangle = 180 cm

the second side of the triangle = 60 cm

the third side of the triangle =130 cm