00:01
In part a of this question we are given this figure here and we want to show triangle pmr is similar to triangle msr.
00:21
Now we know that since this angle here is 90 this angle will be 90 and since this angle is 90 this angle here will be 90 so we have angle pmr is equal to so this angle here is equals to 90 degrees and this is equal to angle msr this is 90 degrees so this is the reason angle and we have this angle here is common to both triangles that is angle m r p is equal is equal to angle s r m so here the reason will be common and so this is the result angle now for similar triangle to show that they are similar we need a a but a is enough because the third angle will be the same for both triangles so therefore by a a triangle triangle pmr is similar to triangle msr.
01:59
Now part b were given these two triangles and the triangle abc is similar to triangle pqr.
02:10
The order is important.
02:13
Part 1 find the value of x.
02:17
So triangle abc is similar to triangle pqr.
02:26
So this means that ab over pq is equal to b c over qr.
02:37
So we just don't even need to look at the triangle, just look at the order and just go on.
02:41
It's equal to ac over pr.
02:46
So just fill in all the information you know.
02:50
Ab we don't know, pq we don't know.
02:54
But bc is 8 .1...