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KIM [24]
3 years ago
12

How to solve for a missing side length of a triangle (NOT a right triangle) when one side is 4m and another side is 3m, and the

only angle is 120 degrees?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

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Question Help
Oxana [17]
X + y = 23000

x.08 + y.09 = 2040

x = 23000 - y

(23000 - y) .08 + y.09 = 2040

1840 - .08y + .09y = 2040

Simplify

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Simplify

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CHECK: .08x + .09(20000) = 2040

.08x + 1800 = 2040

Simply .08x = 240

X = 3000
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Step-by-step explanation:

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