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emmasim [6.3K]
3 years ago
12

How many triangles can be constructed with angles measuring 50ş, 90ş, and 40ş?.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0
If the angles of the triangle are 50, 90, 40 degrees, then only 1 triangle can be made. Because if you change the sides, the angles would change
:)
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Answer:  \bold{-\dfrac{161}{289}}

<u>Step-by-step explanation:</u>

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²    

      y² = 17² - 8²

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→    sin x = -\dfrac{15}{17}

Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

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4 years ago
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<em></em>

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