Mathematics, 14.12.2020 08:30 javier04052000

True Or False Questions 1. All Isoceles Triangles have at least two acute angles

2. If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.

3. All isosceles triangles are equilateral triangles.

4. If you know the length of one of the legs of an isosceles triangle, you can determine it’s perimeter

5. The exterior angle of an equilateral triangle is obtuse

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Answer from: barboursj

The true and false statements need to be identified.

1. true

2. true

3. false

4. false

5. true

In an isosceles triangle two angles are equal.

Let the equal angle be and the other angle be

The sum of angles is $180^{\circ}$

$x+x+y=180\\\Rightarrow y=180-2x$

Now the value of cannot be $90^{\circ}$ or greater because

$y=180-2\times 90=0$

has to be less than $90^{\circ}$ .

The two equal angles must always be acute.

So, the statement is true.

If the side of an equilateral triangle is $\dfrac{P}{3}$

Perimeter will be

$\dfrac{P}{3}+\dfrac{P}{3}+\dfrac{P}{3}=P$

The statement is true.

An isosceles triangle that has the legs equal and also the base equal is called an equilateral triangle.

In an isosceles triangle the base may not be equal to the other two sides.

The statement is false.

Let $x=1\ \text{unit}$ be the length of the equal sides and the length of the other side

Permiter is

$P=x+x+y\\\Rightarrow P=2x+y\\\Rightarrow P=2\times 1+y=2+y$

Since, the other side is not know the perimeter cannot be found.

The statement is false.

In an equilateral triangle all angles are $60^{\circ}$

Exterior angle is found by subtracting the interior angle from $180^{\circ}$

So, for an equilateral triangle the exterior angles will always be $180-60=120^{\circ}$

The angles is greater than $90^{\circ}$ always.

The statement is true.

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Answer from: 109077

Step-by-step explanation:

TRUE

All isosceles triangles have at least 2 acute angles due to 2 sides are equal.

The exterior angle of an equilateral triangle is obtuse.

If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.

FALSE

All isosceles triangles are equilateral triangles.

If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter

Answer from: Quest

hreryryrranswer:

step-by-step explanation:

Answer from: Quest

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

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True Or False Questions 1. All Isoceles Triangles have at least two acute angles

2. If...