Mathematics: Which triangle is similar to △abc if sin(a)=1/4, cos(a)=√15/4, and tan(a)=1/√15?

2x + x = 420 3x = 420 x = 140 Adult tickets...

Which triangle is similar to △abc if sin(a)=1/4,

Shamiyah732

09.03.2022

(D)

Step-by-step explanation:

The given triangle ABC has sinA= $\frac{1}{4}$ , cosA= $\frac{\sqrt{15}}{4}$ and tanA= $\frac{1}{\sqrt{15}}$ .

From the given options, option D is correct because, SinX= $\frac{6}{24}=\frac{1}{4}$ ,

cosX= $\frac{6\sqrt{15}}{24}=\frac{\sqrt{15}}{4}$ and

tanX= $\frac{6}{6\sqrt{15}}=\frac{1}{\sqrt{15}}$

Since, the values of sin, cos and tan of triangle XYZ are similar to teh values of triangle ABC, therefore triangle XYZ is similar to triangle ABC.

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