00:01
Here in this problem, several triangles are given, also given triangle t.
00:08
We have to answer which shapes below are similar to triangle t.
00:13
We have to choose all of the correct answers.
00:16
Now here we will find the triangles which are similar to triangle t by side angle, side similarity.
00:29
If the two sides of a triangle are in the same proportion of the two sides of another triangle and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.
00:45
Now, here in triangle t, the legs, here is triangle t given.
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This is the hypoten, this is 90 degree.
01:07
This one is, let's say a, b, c is the hypotenuse, a b, and b are the two legs of the triangle.
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And the longer, longer legs, longer leg is a b and the shorter one is b.
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So here the ratio of the longer leg is four, one, three, and shorter leg is 2 units.
01:37
Now let's go through the other triangles.
01:41
A.
01:43
Here, a ratio that is 1, 2, 3, 4, 6, 7, 8 divided by 4.
01:54
8 units, the longer leg, 4 units, the shorter leg.
01:59
And the inscribed angle is 90 degree.
02:02
So ratio is 2, not 3 over 2.
02:06
So triangle a is not similar to triangle t.
02:10
Now, triangle b, the required ratio, that is 9 divided by 6, that is 3 over.
02:27
So same as the ratio in triangle t.
02:31
So this one, this triangle is similar to triangle t...