Hi!
y = 16
x = 32
<h3 /><h3>In 30-60-90 triangles, the hypotenuse is double the length of the shortest leg, and the longer leg isWe are given the longest leg. To find the shortest leg, we must divide the longest leg value by
The radicals cancel out and we are left with 16.
The length of y (the shortest leg) is 16.
Now, we also know that the hypotenuse is double the shortest leg. The shortest leg is 16, so if we double that, it's 32.
Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:
where is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem
(where a and b are the legs and c is the hypotenuse of a right triangle)
Now we can use the trig ratios:
Therefore, sin(x) = cos(y)
