Which theorem or postulate proves the two triangles are similar?
1 answer:
Answer:
The corresponding pair of sides are in the same ratio.
Step-by-step explanation:
For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.
Now, see the diagram of two triangles given with the question.
The ratios of the corresponding sides are
If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.
Therefore, the two triangles are similar. (Answer)
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Answer:
D
Step-by-step explanation:
As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.
So , clearly, the 5th term will be =
and the 6th term will be =
Therefore , D will be the answer.
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
Plug in the given values and solve for angle C.This gives,
Therefore, the measure of tangent of angle C is 2.05.