Math / Trigonometry

QuestionInis question: 1 point(S) possible
Apply the law of sines to the following: $a=\sqrt{5}, \mathrm{c}=2 \sqrt{5}, \mathrm{~A}=30^{\circ}$ . What is the value of $\sin \mathrm{C}$ ? What is the measure of C ? Based on its angle measures, what kind of triangle is triangle ABC ?
What is the value of $\sin C$ ? $\square$ (Type an exact answer, using radicals as needed.) What is the measure of $C$ ? - (Type an integer or a decimal )
Based on its angle measures, what kind of triangle is triangle $A B C$ ? Choose the correct answer below. Right Triangle Obtuse Triangle Acute Triangle

Studdy Solution
Determine the type of triangle based on its angles. We have:
- $A = 30^\circ$ - $C = 90^\circ$
Since one angle is $90^\circ$ , triangle $ABC$ is a Right Triangle.
The value of $\sin C$ is:
$\boxed{1}$
The measure of $C$ is:
$\boxed{90^\circ}$
Based on its angle measures, triangle $ABC$ is a:
$\boxed{\text{Right Triangle}}$

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