The perimeter is 41.7.
We first find the distance between each vertex using the distance formula:
We now find the perimeter by adding all of the side lengths:
14+7.81+19.92 = 41.73 ≈ 41.7
The measure of the hypotenuse side is 21.66 units.
In the given figure, the measure of hypotenuse is x, the measure of angle is 37° and the measure of leg is 17.3 units.
<h3>What are trigonometric angles?</h3>
Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Now, cos θ=(Base/Hypotenuse)
cos 37°=17.3/x
⇒ 0.7986=17.3/x
⇒ 0.7986x=17.3
⇒ x=17.3/0.7986
⇒ x=21.66 units
Therefore, the measure of the hypotenuse side is 21.66 units.
Learn more about the trigonometric angles visit:
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Answer:
Option D
Step-by-step explanation:
<u><em>The measure of the exterior angle is equal to the sum og non-adjacent interior angle</em></u>
=> 105 = 55 + x
<em>Subtracting 55 to both sides </em>
=> x = 105-55
=> x = 50 degrees
Your answer would be 0.875.