Question

Line segment QU is a median of triangle UVW. Find QV, if QV = 7x–1 and QW = 4x+5.

Answer 1

`QV=13\ units`

Explanation:

we know that

A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

so

In this problem

If QU is a median of triangle UVW

then

QV=QW

substitute the given values

`7x-1=4x+5`

Solve for x

`7x-4x=5+1`

`3x=6`

`x=2`

Find out the length of segment QV

`QV=7x-1`

substitute the value of x

`QV=7(2)-1=13\ units`