FInd the value of C.

Mathematics

1 answer:

My name is Ann [436]3 years ago

6 0

Answer:

The side C equals to 10. hence the answer is letter A

Step-by-step explanation:

To solve this, we need to use trigonometric functions.

we know that sin (α) = Lo / H for a triangle. Being Lo : Length of the opposite side and H: Length of the hypotenuse.

Given α= 45º and Lo= 5√2 and replacing in the equation:

sin (45º) = 5√2 / C (1)

Using trigonometric identities we know that sin(45º) =(√2)/2. Replacing in equation (1):

sin (45º) = (√2)/2 = 5√2 / C ⇒ C = 2 *5 *√2 / (√2) ⇒ C=10

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The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side leng

n200080 [17]

Answer:

The perimeter of △ABC is 21.4

Step-by-step explanation:

△ABC Forms a isosceles triangle and we’re looking to find out the perimeter of △ABC

Step 1. Find the distance between (-2, 2) and (5, -3)

Answer: 8.6

Step 2. Find the distance between (5, -3) and (-4, -1)

Answer: 9.2

Step 3. Find the distance between (-4, -1) and (-2, 2)

Answer: 3.6
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Step 4. (Final Step) Add the sum of the distances

8.6 + 9.2 + 3.6 = 21.4

Answer: 21.4

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I attached an image showing work
of finding the distance between
points (-2, 2) and (5, -3)
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doomdabomb: All brainliest and thanks
are appreciated and would mean a lot
to me, thanks!