Determine if triangle QRS and triangle TUV are or are not similar

Question

asked Apr 6, 2023 73.5k views

1 Answer

Cbeleites · Answer 1 · 2023-04-10T12:37:06+0000

SOLUTION

If triangle QRS and TUV are similar, then

$\begin{gathered} (QR)/(TU)=(RS)/(UV)=(QS)/(TV) \\ \\ (15)/(75)=(16)/(80)=(18)/(90) \end{gathered}$

So let's check

$\begin{gathered} (15)/(75)=0.2 \\ \\ (16)/(80)=0.2 \\ \\ (18)/(90)=0.2 \end{gathered}$

Therefore, the triangles QRS and TUV are similar

SSS- three sides proportionate