0
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.
Add your answer:
Earn +20 pts
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.
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 46 degrees?
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 38 degrees?
Since the sum of the angles in a triangle is 180°, then the two base angles sum to (180° - 38° = 142°). In isosceles, these two angles are equal, so each one is:142° / 2 = 71°
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.
Are The base angles of all trapezoids equal in measure?
Only when it is an isosceles trapezoid otherwise no.
If the measure of the median of an isosceles trapezoid is 5.5 what are the possible integral measures for the bases?
28.5 units
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
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
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 46 degrees?
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 38 degrees?
Since the sum of the angles in a triangle is 180°, then the two base angles sum to (180° - 38° = 142°). In isosceles, these two angles are equal, so each one is:142° / 2 = 71°
