When FD bisects angle CFE does it create angle C and E or does it create angle CFD and angle EFD

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

it create angle CFD and angle EFD

Step-by-step explanation:

i believe it create that because after the one triangle gets broken into 2, its saying the two smaller angles next to the f.

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3 years ago

Make a set of numbers that use all the digits from 1 to 9, once and once only.

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Answer:

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Step-by-step explanation:

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4 years ago

Which of the following correctly completes the square for the equation below? X^2-5x=0

Mumz [18]

In a standard binomial equation: ax² + bx + c = 0
To complete the square; divide the middle coefficient "b" in half and square it to find "c".
(-5/2)² = 25/4

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3 years ago

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 $\angle B$

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