Question

Help..?

Answer 1

In the given figure of triangle PQR, angle PMN = angle R. Prove that triangle PQR ~ PMN. Also find the value of x.

Answer 2

< PNM is a right angle?

Answer 3

It's not said @welshfella

Answer 4

OK I was just checking

Answer 5

Oh

Answer 6

Any idea on how to solve tho? ;-;

Answer 7

We need to prove that 2 corresponding angles in triangles PQR and PNM are congruent .

Answer 8

~ means similar right?
We don't use that symbol in the UK.

Answer 9

U got it, fella ;)

Answer 10

OK so we have
<PMN = < R (Given)
and
<NPM = <QPR ( this angle is common to both triangles)

Therefore triangle PQR ~ PMN

Answer 11

Then we take the ratio of the sides?

Answer 12

I think thats by SSS in the US?

because if 2 corresponding angle are equal then 3rd angles must be equal too.

Answer 13

Yes - to find x.

Answer 14

SSS is when we use 3 sides to prove similarity. AA is when we use 2 angles. Here, we use AA. :)

Answer 15

OH OK

Answer 16

Oh and thanks a lot! :D

Answer 17

yw

Answer 18

I got x = 6 cm but in the answer key, the answer is 2.4 cm @welshfella