Question

The measures of three sides of triangle are
(4x+67-3) an. (5x+2) om and (2x+y+4 om. Find
the perimeter of the triangle​

Answer 1

Answer:

sides of a triangle are 3x + 4y, 4x + 3y and 5x + 5y units, where x,y>0 .The triangle is .

Step-by-step explanation:

a=3x+4y,b=4x+3y and c=5x+5y be the largest side

⇒cosC=

2ab

a

2

+b

2

−c

2

=

2(3x+4y)(4x+3y)

(3x+4y)

2

+(4x+3y)

2

−(5x+5y)

2

⇒cosC=

2(3x+4y)(4x+3y)

9x

2

+16y

2

+24xy+16x

2

+9y

2

+24xy−25x

2

−25y

2

−50xy

<0,x,y>0

⇒cosC=

2(3x+4y)(4x+3y)

−2xy

<0,x,y>0

⇒θ>90

∘

∴, the triangle is obtuse angled.