Question

Find the value of x in the triangle below.

Answer 1

`x=(-9)/(2)`

Explanation:

We have to find the value of x from the given triangle.

By mid segment theroem which says the midpoint in a triangle of any two sides is parallel to the third side and half of the third side's length

Therefore,
`3x+4=(1)/(2)\cdot (4x-1)`

On multiplying the left hand side of the above equation by 2 from right hand side of the equation we will get:

`2(3x+4)=4x-1`

`\Rightarrow 6x+8=4x-1`

On simplification

`\Rightarrow 2x=-9`

`\Rightarrow x=(-9)/(2)`