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Cloud [144]
2 years ago
15

What are all the angle measures for right triangle ABC?

Mathematics
1 answer:
Alenkasestr [34]2 years ago
3 0

Answer:

\alpha = 60°,\:\beta = 30°, \: 90°

Step-by-step explanation:

Arccos( \frac{ \sqrt{3} }{2} ) =  \beta  \\ Arccos(  \cos \: 30 \degree ) =  \beta  \\30 \degree =  \beta  \\  \therefore \:  \alpha  = 60 \degree \\ remaining \: angle = 90 \degree \\

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prisoha [69]
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the 
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b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
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c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
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d)Find area KLMNArea of trapezium can be calculated using the  formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM)          = 1/2 * 3√5 * (40 + 24)         = 1/2 * 3√5 * 64         = 3 x 2.23 * 32         = 214.66 units²
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