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3 years ago

14

A ratio is... A) the difference between two numbers B) a comparison of two numbers by division C) a comparison of two numbers by

multiplication D) the sum of two numbers Help please

1 answer:

nlexa [21]3 years ago

3 0

C
.........................

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6. If rls and mZ1 = 35º, what is mZ2?<br> 2<br> 1<br> S<br> please help!!

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Given triangle ABC, which equation could be used to find the measure of ∠B? right triangle ABC with AB measuring 6, AC measuring

rjkz [21]

Answer:

$cos B = \dfrac{2\times \sqrt5}{5}$ is the correct answer.

Step-by-step explanation:

We are given a right angled $\triangle ABC$ with the side measurements as:

AB = 6

AC = 3

BC = 3 $\sqrt5$

In a right angled triangle, the angle of $90^\circ$ is the <em>largest angle and the side opposite to the right angle is the largest.</em>

We are given that the side BC = 3 $\sqrt5$ which has a value greater than 6 which means side BC is the largest side.

And angle opposite to BC is $\angle A$ is the largest i.e.

$\angle A=90^\circ$

Please refer to the attached image for the given dimensions of the triangle.

Now, we can apply trigonometric rules to easily find out the value of $\angle B$

$cos \theta = \dfrac{Base}{Hypotenuse}\\OR\\cos B = \dfrac{AB}{BC}\\\Rightarrow cos B = \dfrac{6}{3\sqrt5}\\\Rightarrow cos B = \dfrac{2}{\sqrt5}\\\Rightarrow cos B = \dfrac{2\times \sqrt5}{\sqrt5 \times \sqrt5}\\\Rightarrow cos B = \dfrac{2\times \sqrt5}{5}$

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3 years ago