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dlewis2560
14.12.2020 •
Mathematics
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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Ответ:
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 ![y](/tpl/images/0980/1015/9512c.png)
The sum of angles is![180^{\circ}](/tpl/images/0980/1015/4245f.png)
Now the value of
cannot be
or greater because
The two equal angles must always be acute.
So, the statement is true.
If the side of an equilateral triangle is![\dfrac{P}{3}](/tpl/images/0980/1015/a8a9f.png)
Perimeter will be
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
be the length of the equal sides and
the length of the other side
Permiter is
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}](/tpl/images/0980/1015/d1e5f.png)
Exterior angle is found by subtracting the interior angle from![180^{\circ}](/tpl/images/0980/1015/4245f.png)
So, for an equilateral triangle the exterior angles will always be![180-60=120^{\circ}](/tpl/images/0980/1015/c5e8c.png)
The angles is greater than
always.
The statement is true.
Learn more:
link
link
Ответ:
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
Ответ: