# Math Help - Geometry Similar triangles- Find Side with ratio

1. ## Geometry Similar triangles- Find Side with ratio

Can someone check my work for this question. At First i got 34 But the Teacher said it was wrong.. So please help.
By the way do we add Overlapping triangles sides? For example two triangles are overlapping one is 2 and the other 4. so the side with 4 would be added with 2 =6 When doing ratios right? Kind of hard to explain when writing this is more clear in the picture.

2. Best thing to do to see the correct ratios is.... (if RS is parallel to QP)

Remove triangle TRS from triangle TQP.

Now write the full lengths of the sides of TQP.

The sides of the smaller triangle are magnified by the same factor to enlarge it to TQP.

3. Originally Posted by Archie Meade
Best thing to do to see the correct ratios is.... (if RS is parallel to QP)

Remove triangle TRS from triangle TQP.

Now write the full lengths of the sides of TQP.

The sides of the smaller triangle are magnified by the same factor to enlarge it to TQP.
I tried that and got 34 again here is the Picture.

$m(\overline{TQ})=24$ not $16.$
S0 $m(\overline{QP})=51$

5. Why is your triangle TQP incorrect ?

The distance from R to Q is 16, not the distance from T to Q.
Same for the other slanted side.

Do you see this ?

6. Originally Posted by Plato
$m(\overline{TQ})=24$ not $16.$
S0 $m(\overline{QP})=51$
No my Geometry sheet says 16

7. Originally Posted by Archie Meade
Why is your triangle TQP incorrect ?

The distance from R to Q is 16, not the distance from T to Q.
Same for the other slanted side.

Do you see this ?
Now i notice.. That is what i was asking overlapping triangles are added? I asked that question in the beginning sorry Guys .

8. Originally Posted by vaironxxrd
No my Geometry sheet says 16
You may be reading the sheet incorrectly.
Does is actually say $QT=16~\&~RT=8~?$

OR did it just give the diagram that you reproduced?

If the latter is the case, I suggest you are reading the diagram incorrectly.

9. Originally Posted by Plato
$m(\overline{TQ})=24$ not $16.$
S0 $m(\overline{QP})=51$
Why is your triangle TQP incorrect ?

The distance from R to Q is 16, not the distance from T to Q.
Same for the other slanted side.

Do you see this ?
Originally Posted by Plato
You may be reading the sheet incorrectly.
Does is actually say $QT=16~\&~RT=8~?$

OR did it just give the diagram that you reproduced?

If the latter is the case, I suggest you are reading the diagram incorrectly.
NO QT=24 because i added 8+16 but the paper does say QR=16 as shown in the picture. I Redid the problem