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Sholpan [36]
3 years ago
7

How many different triangles can you make with 14cm, 10cm and 50cm sides?

Mathematics
2 answers:
Dominik [7]3 years ago
7 0

Answer:

0

Step-by-step explanation:

ANEK [815]3 years ago
5 0

Hello from MrBillDoesMath!

Answer:

0  (zero)

Discussion:

From the "triangle inequality", the sum of any two sides of a traingle must be greater than the length of the third side.  As 14 + 10 is not greater than (is less than) 50, o no such triangle exists


Thank you,

MrB

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almond37 [142]

Answer:

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Step-by-step explanation:

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\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

h = \sqrt{35^2 + 12^2} =37

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

a=\sqrt{29^2-20^2}=21

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For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)

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\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)

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\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}

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