Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35 and the statement that Sin B is greater than Sin Y is false.
What is a similar triangle?
The two triangles are said to be similar that have the same proportion of sides and angles.
Corresponding sides are in the same ratio.
a/p = b/q = c/r
In triangle ABC
AB = 5, AC = 3, BC = 4
Cos A = base/ hypotenuse
= 3/5
Cos B = base/ hypotenuse
= 4/5
Cos C = base/ hypotenuse
= 3/5
In triangle WYZ
Cos W = base/ hypotenuse
= 3/5
Cos Z = base/ hypotenuse
= 4/5
Hence, Angle C, Angle Z, Angle A, and Angle W are all angles whose cosine equals 35.
In triangle WYZ
WY = 13
In triangle ABC
CB = 24, AC = 10
Sin B = Perpendicular/ hypotenuse
= 10/26
Sin Y = Perpendicular/ hypotenuse
= 5/13
Since both angles are equal also they are similar to each other.
Therefore, the statement that Sin B is greater than Sin Y is false.
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