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mario62 [17]
3 years ago
14

What is the length of the hypotenuse of triangle ABC? Round your answer to the nearest tenth. A) 2.5 m B) 4.3 m C) 5.5 m D) 18.2

5 m

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0
Hypotenuse= \sqrt{1.5^{2}+ 4^{2}  }
=4.27
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Solve the following triangle. Given A=51 degrees b=40 c=45
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Answer:

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Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

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step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

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step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

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