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Montano1993 [528]
3 years ago
6

In the triangle below, determine the value of a.

Mathematics
1 answer:
makkiz [27]3 years ago
4 0

Answer:

Step-by-step explanation:

This is classic right triangle trig.  Side a, our unknown, is adjacent to angle C which is a given.  You always have to use a given angle and side to find a missing side, so we have to figure out how the two givens are related to our unknown.  Side a is adjacent to angle C, and we are also given the hypotenuse.  We know side a is not the hypotenuse since the hypotenuse is ALWAYS the side across from the 90 degree angle.  The tan ratio of angle C will give us a way to have only one unknown.

tan 43 = a/26 and

26 tan 43 = a

Use your calculator now to find the missing side.  

a = 24.2 units long

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Answer:

£20

Step-by-step explanation:

1-1/4=3/4

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1

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15*4/3=20

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3 years ago
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Answer:

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Step-by-step explanation:

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Find the length of YZ
emmainna [20.7K]
Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
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____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
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Good luck to you!
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3 years ago
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