Question

The sides of a triangle are x units, (x +1) units and (2x ─ 1) units and its area is
x √10 square units. What is the value of x?

Answer 1

Answer:

If a,b,c are the sides of a triangle , then according to Hero's Formula area of triangle is

s(s−a)(s−b)(s−c)

where s=

2

a+b+c

For the given triangle,

s=

2

x+x+1+2x−1

=

2

4x

=2x

Area =x

10

2x(2x−x)(2x−x−1)(2x−2x+1)

=x

10

2x(x)(x−1)(1)

=x

10

x

2(x−1)

=x

10

2(x−1)

=

10

⇒2(x−1)=10

x−1=5

x=6

Answer 2

Step-by-step explanation:

Using Hero's Formula ,value of X can be found