Question

-

12 and y are the measures of complementary angles in a right triangle such that cos y
label the sides of the right triangle in the diagram below with possible side lengths.
Drag values to each side of the triangle to create your answer.
C
3√39
20 3
yo
39
39
20
and tan -

Answer 1

If we step at angle y, we have:

• Opposite cathetus = 3√39
• Adjacent cathetus = 7
• hypotenuse = 20

How to find the sidelengths?

Remember the trigonometric relation:

tan(angle) = (opposite cathetus)/(adjacent cathetus)

We know that:

tan(y)= (3√39)/7

Then we can see that:

Opposite cathetus = 3√39

Adjacent cathetus = 7

And for the hypotenuse we can use the Pithagorean theorem, we will get:

h = √( (3√39)² + 7²)

h = √(9*39 + 49)

h = √400 = √4*√100

h = 2*10 = 20