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3 years ago

Which of the following statements is true only if triangles EFI and GFH are similar?

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

7 0

Answer:

(some one already told the answer-)

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size.

The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Cerrena [4.2K]3 years ago

5 0

Answer:

Lines EI and HG are parallel

plz like and vote 5 star if answer is correct, if not still do it as it might help someone somehow

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Liono4ka [1.6K]

Answer:

a,d,c

Step-by-step explanation:

4 0

2 years ago

As the angle θ increases to 90° the value of tan(θ)

Nutka1998 [239]

Answer:

C. increases rapidly.

Step-by-step explanation:

tan(θ) = sin(θ)/cos(θ)

Now, when sin 90 = 1

and cos 90 = 0

so, tan(90) = 1/0 = not defined.

<em>(1/0 is infinity and its value is not defined)</em>

So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.

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3 years ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .