Question

A wire is bent in the form of a triangle. If the lengths of the sides of the triangle of the triangle are (7x2 −5x) cm, ( 3x+ 4x2 )cm and ( 8x−4) cm , find the length of the wire.​

Answer 1

Answer:

Step-by-step explanation:

Sides of triangle are 5x+2,5x and 3x−5

As x>0 so the longest side or the hypotenuse is 5x+2

Using pythagoras theorem

(3x−1)  

2

+(5x)  

2

=(5x+2)  

2

 

⇒9x  

2

+1−6x+25x  

2

=25x  

2

+4+20x

⇒9x  

2

−26x−3=0

⇒9x  

2

−27x+x−3=0

⇒9x(x−3)+1(x−3)=0

⇒(9x+1)(x−3)=0

⇒x=−  

9

1

​

,3

But x>0

⇒x=3

So the sides are

5x+2=15+2=17

5x=15

3x−1=9−1=8