triangle inequality
with solution kung kaya sana pero kung hindi kahit sagot nalang
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triangle inequality
with solution kung kaya sana pero kung hindi kahit sagot nalang
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Answer:
To find the value of x in the given triangle, we need to use the information about the angles of the triangle.
In a triangle, the sum of all three angles is always 180 degrees.
Given that one angle in the triangle is 110 degrees, let's denote the remaining two angles as A and B.
So, we have:
Angle A = 110 degrees
Angle B = 180 - 110 = 70 degrees
Now, let's use the Sine Law to relate the angles and sides of the triangle:
sin(A) / L = sin(B) / D
Plugging in the values we know:
sin(110) / (x + 4) = sin(70) / (4x)
To solve for x, we can cross-multiply and solve the resulting equation:
sin(110) * (4x) = sin(70) * (x + 4)
Using a scientific calculator or trigonometric tables, we can find the sine values:
0.9397 * (4x) = 0.9397 * (x + 4)
Now, we can simplify the equation:
3.7588x = 0.9397x + 3.7588
Subtracting 0.9397x from both sides:
2.8191x = 3.7588
Dividing both sides by 2.8191:
x = 3.7588 / 2.8191
x ≈ 1.334
Therefore, the value of x in the triangle is approximately 1.334.
Step-by-step explanation: