Use this diagram of triangle xyz to answer the questions. 1)what is the value of side xy? 5,10,50,100 2)what is the value of sin(x)? 3/4,4/3,4/5,5/4 3)what is the value of cos(x)? 4/5,5/4,3/5,5/3 4)what is the value of tan(x)? 3/4,4/3,4/5,3/5

The sides of a triangle may or may not be congruent.

(a) Side XY

This is calculated using the following Pythagoras theorem.

Take positive square roots of both sides

Hence, the value of side XY is 10

(b) sin(x)

This is calculated using the following sine ratio

So, we have:

Simplify

Hence, the value of sin(x) is 4/5

(c) sin(x)

This is calculated using the following cosine ratio

So, we have:

Simplify

Hence, the value of cos(x) is 3/5

(d) sin(x)

This is calculated using the following tangent ratio

So, we have:

Simplify

Hence, the value of tan(x) is 4/3

Read more about right triangles at:

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