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Lana71 [14]
3 years ago
11

If the angles of a traingle are in the ratio 2:3:4 , Find Them​

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer:

40°, 60°, and 80°

Step-by-step explanation:

We know that the sum of the angles of a triangle is equal to 180°.

We can use this equation to solve for these angles:

180 = 2x + 3x + 4x

180 = 9x

20 = x

Then substitute the solution in for x to solve for the angles:

2(20) = 40°

3(20) = 60°

4(20) = 80°

Therefore, the angles are 40°, 60°, and 80°.

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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t
larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle \theta, is 1.42. We are asked to find the length of the side opposite angle \theta.

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\text{tan}(\theta)=1.42

Now, we will use arctan to solve for theta as:

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Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

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