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Crank
4 years ago
13

In the triangle below, 4/5 represents which ratio?

Mathematics
2 answers:
ASHA 777 [7]4 years ago
8 0
<span><u><em>Answer:</em></u>
sin (C)

<u><em>Explanation:</em></u>
<u>In a right-angled triangle, special trig functions can be applied. These functions are as follows:</u>
sin (theta) = </span>\frac{opposite}{hypotenuse}
<span>
cos (theta) = </span>\frac{adjacent}{hypotenuse}
<span>
tan (theta) = </span>\frac{opposite}{adjacent}<span>

<u>Now, let's check the triangle we have:</u>
<u>We have two options:</u>
<u>First option:</u>
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the <u>cos function</u>:
cos (B) = </span>\frac{4}{5}<span>

<u>Second option:</u>
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the <u>sin function</u>:
sin (C) = </span>\frac{4}{5}
<span>
Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

</span>
Klio2033 [76]4 years ago
6 0

Answer:

B

Step-by-step explanation:

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3 years ago
What is the measurement of the vertex angle of an isosceles triangle if one of its base angles measures 42 degree
kari74 [83]

Hello from MrBillDoesMath!

Answer:

96 degrees


Discussion:

The base angles of an isosceles triangle are equal and a triangle has 180 degrees. In our case this means that


42 + 42 + (measure of vertex angle) = 180

84 + (measure of vertex angle)  = 180 =>     (subtract 84 from both sides)

84 - 84 +  (measure of vertex angle)  = 180- 84 =>  

(measure of vertex angle)  = 180- 84  = 96

Thank you,

MrB

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4 years ago
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