Question

Consider ΔABC ~ ΔXYZ. What is the value of tan(A)? What is the value of tan(X)? What is true about the two tangent ratios?

Answer 1

Answer:

1. 3/4

2. 3/4

3. tan(X) = tan (A)

Step-by-step explanation:

Answer 2

The value of $tan(X)$ is equal to  $tan(A)$ and tangent ratios will be 1.

Two triangles said to be similar, if corresponding angles of both triangle are equal and corresponding sides are proportional.

Given that ΔABC ~ ΔXYZ.

Since, both triangles are similar. Therefore , corresponding angles are equal.

         ∠A = ∠X

         ∠B = ∠Y

         ∠C = ∠Z

Therefore,        $tan(A)=tan(X)\\\\\frac{tan(A)}{tan(X)}=1$

The tangent ratios equal to one.

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