Answer:
Area: T = 3
Sides: a = 2.828 b = 2.236 c = 3
Step-by-step explanation:
Angle ∠ A = α = 63.435° = 63°26'6″ = 1.107 rad
Angle ∠ B = β = 45° = 0.785 rad
Angle ∠ C = γ = 71.565° = 71°33'54″ = 1.249 rad
Hope this helps!
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9514 1404 393
Answer:
319 in²
Step-by-step explanation:
The applicable area formula is ...
A = 1/2(g)(e)·sin(F)
A = 1/2·(12 in)(55 in)sin(75°) ≈ 319 in²
The area of the triangle is about 319 square inches.
Answer:
Option 2 is correct.
Step-by-step explanation:
See the given figure.
Here triangle MTU is a right triangle.
Hence, applying Pythagoras theorem,
TU² = TM² - MU² = 6² - 3² = 27 ....... (1)
Now, triangle NTU is also a right triangle.
Hence, NT² = TU² + NU² = 27 + 9² = 108
So, NT = √108 = 6√3
Therefore, option 2 is correct. (Answer)
Answer:
MK = 23
Step-by-step explanation:
Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:
2x + 5 = 7x - 40
subtract 5 from both sides
2x = 7x - 45
subtract 7x from both sides
-5x = -45
divide by -5
x = 9
Now input 9 into the equation
MK = 7(9) - 40 = 63 - 40 = 23