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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 an isosceles trapezoid have at least one right angle?
Yes, an isosceles trapezoid can have at least one right angle. In such a trapezoid, the non-parallel sides are equal in length, and if one of the angles between a base and a non-parallel side is a right angle, the trapezoid will still maintain its isosceles properties. This configuration results in a trapezoid that is both isosceles and contains a right angle.
