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If the length of the bases of an isosceles trapezoid are known can you compute the measure of the internal angles?
Let's do an example.
Draw an isosceles trapezoid. Let say that the biggest base has a length of 10, and the smallest base has a length of 4.
Draw two perpendicular line that pass through the vertices of the smallest base, to the biggest base of the trapezoid.
A rectangle is formed whose lengths of its two opposite sides equal to the length of the smallest base of the trapezoid.
Then, we can say that the base of the right triangle whose hypotenuse is one one of the congruent sides of the trapezoid is 3, (1/2)(10 -4). So that one of the possibilities of its height (which also is the height of the trapezoid) is 4, and the hypotenuse is 5 (by the Pythagorean triple).
Now, in the right triangle whose hypotenuse is one of the congruent sides of the trapezoid, we have:
tan (base angle of the trapezoid) = 4/3, and
the base angle angle of the trapezoid = tan-1 (4/3) ≈ 53⁰.
Since the sum of the two adjacent angles of the trapezoid is 180⁰, the other angle of the trapezoid is 127⁰.
Thus, the base angles of the isosceles trapezoid have a measure of 53⁰, and two other angles have a measure of 127⁰.
So, we need to have more information in order to find the angles of the isosceles trapezoid for the given problem.
What else can I help you with?
In this figure is an isosceles trapezoid what is the measure of dab?
To determine the measure of angle ( DAB ) in an isosceles trapezoid, you need to know the measures of the other angles or the lengths of the bases. In an isosceles trapezoid, the base angles are equal, so if you have the measure of one base angle, angle ( DAB ) will be the same. If additional information about the trapezoid is provided, please share it to get a more precise answer.
The isosceles trapezoid is part of an isosceles triangle with a 32 degrees vertex anglewhat is the measure of an acute base angle of the trapezoid?
In an isosceles triangle with a vertex angle of 32 degrees, the base angles are each equal to ( \frac{180^\circ - 32^\circ}{2} = 74^\circ ). Since the isosceles trapezoid is formed from this triangle, the acute base angles of the trapezoid are also equal to the base angles of the triangle. Therefore, the measure of an acute base angle of the trapezoid is 74 degrees.
Are The base angles of all trapezoids equal in measure?
Only when it is an isosceles trapezoid otherwise no.
How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
Can a quadrilateral have 4 angles that measure different?
A quadrilateral may have all 4 angles different if it is not a square, rectangle, rhombus, rhomboid, rectangular trapezoid, isosceles trapezoid, or parallellogram.
If this figure is an isosceles trapezoid what is the measure of?
There is no figure to be seen but an isosceles trapezoid will have equal base angles.
If this figure is an isosceles trapezoid what is the measure of dab?
There is no figure to be seen but an isosceles trapezoid will have equal base angles.
If this figure is an isosceles trapezoid what is the measure of angle DAB?
There is no figure to be seen but an isosceles trapezoid will have equal base angles.
In this figure is an isosceles trapezoid what is the measure of dab?
To determine the measure of angle ( DAB ) in an isosceles trapezoid, you need to know the measures of the other angles or the lengths of the bases. In an isosceles trapezoid, the base angles are equal, so if you have the measure of one base angle, angle ( DAB ) will be the same. If additional information about the trapezoid is provided, please share it to get a more precise answer.
The isosceles trapezoid is part of an isosceles triangle with a 32 degrees vertex anglewhat is the measure of an acute base angle of the trapezoid?
In an isosceles triangle with a vertex angle of 32 degrees, the base angles are each equal to ( \frac{180^\circ - 32^\circ}{2} = 74^\circ ). Since the isosceles trapezoid is formed from this triangle, the acute base angles of the trapezoid are also equal to the base angles of the triangle. Therefore, the measure of an acute base angle of the trapezoid is 74 degrees.
Are The base angles of all trapezoids equal in measure?
Only when it is an isosceles trapezoid otherwise no.
Ef is a median of isosceles trapezoid abcd if angle d equals 50 degrees what is the measure of angle ad?
The isosceles trapezoid will have 2 equal base angles of 50 degrees and 2 other equal angles of 130 degrees.
How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
Can a quadrilateral have 4 angles that measure different?
A quadrilateral may have all 4 angles different if it is not a square, rectangle, rhombus, rhomboid, rectangular trapezoid, isosceles trapezoid, or parallellogram.
Ef is a median of isosceles trapezoid abcd if angle d equals 50 degrees what is the measure of angle efb?
50
What are the opposite angles in an isosceles trapezoid?
In an isosceles trapezoid, the opposite angles are equal. Specifically, the angles adjacent to each of the bases are congruent; that is, the angles on the same side of the trapezoid are equal to each other. Therefore, if one angle measures ( A ), the angle directly opposite it will also measure ( A ), while the other two angles will also be equal, forming a pair of equal angles on each base.
If the bases of an isosceles trapezoid have measures of 8 inches and 12 inches what is the measure of its median?
The average(mean) of the two bases. (8+12)/2=10
