Asked by Princess

XYZ is an isosceles triangle with |XY|=|XZ|=6cm and angle XYZ=120°. Calculate the length of line YZ.
Answered by bobpursley
This is prefect for the law of cosines, have you had that?

Ok, if you have not, thenisosceles means angle x and z are 60 degrees. So bisect angle xyz, it forms two triangles. Note the bisected angle forms each 60 degrees, so not each of the two new triangles have two angles of 60...oh oh, that means the third angle is 60 degrees, and they are equilateral triangles, all angles and sides equal. Now you can figure then the XZ is now 12 (two sixes on each triangle.)
Answered by Damon
120 + 2 x = 180
x = 30 degrees for the other two angles

cos 30 = (YZ/2)/6

cos 30 = yz/12

yz = 12 cos 30
Answered by Anonymous
Cos30=0.8660
0.8660÷12
=0.9996
Answered by Wale
using sin rule
x/sin120°=6/sin30°
.
sin120°= √3/2 and sin30°= 1/2
x/√3/2 = 6/1/2
2x/√3 = 12
x= 12*√3/2
x= 6√3cm.. (answer)
Answered by Isac
Wrong
Answered by Anonymous
I need the angle to be drawn
Answered by PHILIP
I DONT KNOW
There are no AI answers yet. The ability to request AI answers is coming soon!