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In-s [12.5K]
3 years ago
10

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

greater perimeter. Round to the nearest tenth if necessary.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

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Point c partitions line segment AB in the ratio 1:3. What is the y-coordinate of c.
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The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have two points:

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Let's assume A(x1, y1)  and B(x2, y2)

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Learn more about the straight line here:

brainly.com/question/3493733

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2 years ago
The are of a rectangle room is 80 square feet. I’f the length of one side of the room is 8 feet, what is the perimeter of the ro
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