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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, andthe 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 does a quadrilateral with one right angle one obtuse angle and two acute angles look like?
Somewhere between a trapezoid and a triangle. Imagine an image where the left edge is perpendicular to the base (right angle), the top declines slightly from left to right (acute angle), and the right side declines sharply from the top (obtuse) to its intersection with the base (acute). Another option would be for the top to incline as it moves away from the side forming the obtuse angle, then the other side declines even more sharply forming acute angles at intersection with the top and bottom.
Can a base angle of an isocelese triangle be an obtuse angle?
No the 2 equal base angles cannot be obtuse because the 3 interior angles of any triangle add up to 180 degrees
Can a base angle of an isosceles triangle be an obtuse angle?
Only if you are dancing on a log in the lost forest.
Is there a trapezoid with right angle?
Yes. Imagine a right-angled triangle with one of its legs forming the base. Cut of the apex (the top angle) using a line parallel to the base. You will then have a trapezoid with a right angle. In fact, since a trapezoid contains a pair of parallel lines, it has two pairs of supplementary angles (add up to 180 deg). So a trapezoid cannot have only one right angle. If there is one, there must be 2 (or 4).
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.
How many acute angles does a trapezoid have?
A trapezoid always has two acute angles. the base angles have to be acute because the lower base angles and the upper base angles are complementary so since the upper base angle is always obtuse, the lower base angles have to be acute.
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, andthe 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.
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.
What does a quadrilateral with one right angle one obtuse angle and two acute angles look like?
Somewhere between a trapezoid and a triangle. Imagine an image where the left edge is perpendicular to the base (right angle), the top declines slightly from left to right (acute angle), and the right side declines sharply from the top (obtuse) to its intersection with the base (acute). Another option would be for the top to incline as it moves away from the side forming the obtuse angle, then the other side declines even more sharply forming acute angles at intersection with the top and bottom.
Can a base angle of an isocelese triangle be an obtuse angle?
No the 2 equal base angles cannot be obtuse because the 3 interior angles of any triangle add up to 180 degrees
Can a base angle of an isosceles triangle be an obtuse angle?
Only if you are dancing on a log in the lost forest.
How do you get the base of a trapezoid without the area?
Simply measure it and the parallel bases of a trapezoid will have different lengths.
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.
The obtuse angle of an isosceles triangle measures 120 degrees write and solve an equation to find the measure of the base angles?
Well if it has 180 degrees over all, and the two base angles have to be congruent, then the equation is 180-120=2x or each base angle is 30 degrees.
Is there a trapezoid with right angle?
Yes. Imagine a right-angled triangle with one of its legs forming the base. Cut of the apex (the top angle) using a line parallel to the base. You will then have a trapezoid with a right angle. In fact, since a trapezoid contains a pair of parallel lines, it has two pairs of supplementary angles (add up to 180 deg). So a trapezoid cannot have only one right angle. If there is one, there must be 2 (or 4).
