Find the value of x in the triangle below.

Question

asked Jul 5, 2019 184k views

1 Answer

Roge · Answer 1 · 2019-07-11T05:45:36+0000

Answer:

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

$\Rightarrow 2x=-9$

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