Question

PLEASE HELP ASAP
If triangle WXY is an isosceles triangle, with WX line congruent to XY line, find x and the measurements of each side
WX is 6x-77 XY is 3x+4 and WY is 5x-31

Answer 1

Answer:

Therefore

$x=27$

$WX=85\ unit\\\\XY=85\ unit\\\\WY=104\ unit$

Step-by-step explanation:

Given:

triangle WXY is an isosceles triangle,

WX ≅ XY

WX = 6x-77

XY = 3x+4 and

WY = 5x-31

To Find

x = ?

measurements of each side  = ?

Solution:

Δ WXY is an Isosceles Triangle ..Given

WX ≅ XY  ...........Given

Substituting the values we get

$6x-77=3x+4\\\\6x-3x=77+4\\\\3x=81\\\\x=\dfrac{81}{3}\\\\\therefore x=27$

Now Substituting 'x' in WX, XY, and WY we get

$WX=6\times 27-77=85\ unit\\\\XY=3\times 27+4 =85\ unit\\\\WY=5\times 27 -31=104\ unit$

Therefore

$x=27$

$WX=85\ unit\\\\XY=85\ unit\\\\WY=104\ unit$