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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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Given: AB tangent to circle O at B, and secant through point A intersect the circle at points C and D. Find CD, if
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Read 2 more answers
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros for
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The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,

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(5 + √5)² + (5 +√5)(b) + c = 0
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Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
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7 0
3 years ago
9. 2 1/8 + 1 5/12
MrMuchimi

Answer:

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Step-by-step explanation:

9) Convert the mixed numbers to improper fractions, then find the LCD and combine.

10) Simplify the expression.

11) To subtract fractions, find the LCD and then combine.

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