00:01
We're given two similar triangles.
00:04
We're given some measures of some sides.
00:08
And we're asked to find the values of a and b.
00:12
First, we need to recall what it means to be similar triangles.
00:17
So for similar triangles, two things have to take place.
00:23
The corresponding sides have to be in proportion, and the corresponding angles have to be congruent.
00:35
So we have to find out which sides are corresponding, and sometimes it's easy if the triangles are oriented the same way, but in these two, they're not oriented the same way.
01:05
But we can look at the angles.
01:08
This angle and this angle appear to be the largest angles in those two triangles, so they have to be opposite the longest sides.
01:20
And this angle and this angle appear to be the smallest angles so they have to be opposite the shortest side.
01:32
So since we have the four and the ten, we can find our scale factor.
01:39
So i'm choosing to put the small triangle side over the large triangle...