Question

in triangle acb angle c is right angle a and b are the sides and c is the hypotenuse find the third side if b is 5 c 8s 13​

Answer 1

Step-by-step explanation:

Consider the given sides of right angle 5x+2,5x,3x−1

Using the Pythagoras theorem

(5x+2)

2

=(5x)

2

+(3x−1)

2

25x

2

+4+20x=25x

2

+9x

2

+1

1

−6x

−9x

2

+26x+3=0

9x

2

−26x−3=0

9x

2

−27x+x−3=0

9x(x−3)+1(x−3)=0

(x−3)(9x+1)=0

When,

9x+1=0

x=

9

−1

It is a negative value. so ignore it

When,x−3=0

Then x=3

Put x=3 in these given sides5x+2,5x,3x−1, we get

5×3+2,5×3,3×3−1

17,15,8

Hence these are the required value of sides of right angle triangle