In triangle WXY, if <X is congruent to <Y,WX=9x-11, XY=4x+1, and WY=7x-3, find x and the measure of each side.

Answer 1

Greetings! Lets solve this shall we ?

So, we must find the value of x and the values of each side such that the angles X and Y make the triangle an Isosceles Triangle such that WX = WY. Then,

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that

2x - 11 = -3..........Then add 11 to both sides such that

2x = 8...........Then divide 2 such that

x = 4

Now we can find each side such that

WX = 9(4)-11 = 25

WY = 7(4)-3 = 25

XY = 4(4)+1 = 17

I hope this helped!