Question

Last question of the day.. picture will be attached

Answer 1

Line QR II XZ.

So can u prove YQR similar to YXZ ?

Answer 2

umm i haven't done questions like these since the beginning of the year.. i dont really remember how to do it

Answer 3

ok can u observe that QYR and XYZ are actually the VERY same angle?

Answer 4

o i guess so

Answer 5

and actually QR II XZ so YQR equals YXZ since they are corresponding equal angles.

Answer 6

oh yea wait u need to do a proportion right? big triangle and small triangle?

Answer 7

thats how it is done.

But we have already proved two pairs of angles i.e. YQR = YXZ and QYR = XYZ,

so u can say that triangle YQR is similar to triangle YXZ. by AA

Answer 8

yea

Answer 9

hence the CORRESPONDING sides will be proportional.

but easier way, YQR is similar to YXZ. u can write the corresponding letters as a ratio.

so YQ/YX = QR/XZ = YR/YZ.

u can try to find RY now?

(i mean if 123 is similar to 456 then 12/45 = 23/56 = 13/46 like tht)

Answer 10

so.. it will be.. 7/x = 14/6 or..?

Answer 11

actually, lets take YQ/YX = YR/YZ.

so YQ = 6 but YX = XQ + YQ which is 6+14 = 20.

and YR = x however YZ = YR + RZ = X+7

Hence, 6/20 = x/x+7.,

Answer 12

ok

Answer 13

thnx i got the answer, 3!

Answer 14

yes good :)