The approximate length of side a is 9.12 in. The correct option is B. 9.12 in
<h3>Law of Sines </h3>
From the question, we are to determine the approximate length of side a
From the given information, we have that
m∠B = 114°, m∠C = 22°
Thus,
m∠A = 180° - (114° + 22°)
m∠A = 180° - 136°
m∠A = 44°
Now,
From the law of sines, we have that
a/sinA = b/sinB
Then,
a/sin44° = 12/sin114°
a = (12 ×sin44°)/sin114°
a = 9.12 in
Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in
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Answer: The fourth one
Step-by-step explanation:
Last option is your answer ( 0.00000991)
Answer:
The sides are 30 ft, 40 ft and 50 ft.
Step-by-step explanation:
The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.
Using Pythagoras theorem the length of the sides can be found.
a² + b² = c²
(x - 4)² + (x + 6)² = (2x - 18)²
(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)
x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324
2x² - 8x + 12x + 16 + 36 = 4x² - 72x + 324
2x² + 4x + 52 = 4x² - 72x + 324
2x² - 4x² + 4x + 72x + 52 - 324 = 0
-2x² + 76x - 272 = 0
2x² - 76x + 272 = 0
divide through by 2
x² - 38x + 136 = 0
find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.
x² - 4x - 34x + 136 = 0
x(x - 4) - 34(x - 4) = 0
(x - 4)(x - 34 ) = 0
x = 4 or 34
we can only use 34 since using 4 will result to negative number.
x - 4 = 34 - 4 = 30 ft
x + 6 = 34 + 6 = 40 ft
2x - 18 = 68 - 18 = 50 ft
Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
