0
What are the inside angles of an isosceles trapezoid when its smallest angle is one third the size of its biggest angle showing work with explanations?
Let the biggest angle be x:-
If: 1/3x+1/3x+x+x = 360 degrees
Then: 2x and 2/3x or 8/3x = 360 degrees
So: x = 360 divided by 8/3 => 135 degrees
Therefore the four angles are: 45+45+135+135 = 360 degrees
Note that an isosceles trapezoid is a 4 sided quadrilateral with a pair of opposite parallel lines of diferent lengths and equal length slanted sides with its base angles being equal making its 4 inside angles adding uo to 360 degrees in common with other quadrilaterals.
What else can I help you with?
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.
In an isosceles triangle are the base angles the biggest?
The two base angles are equal to one another. They may either be the two smallest, or the two largest, angles.
What are the biggest and smallest oceans?
Biggest: Pacific Smallest: Arctic
Is Neptune the smallest or the biggest?
It is neither the smallest nor the biggest.
Is mars the biggest or smallest planet in the solar system?
It's neither the biggest nor the smallest. Biggest = Jupiter Smallest = Mercury.
Which is the biggest and smallest ocean in area?
pacific is the biggest and indian is the smallest
Which is the biggest and smallest state in India?
Biggest - Rajasthan, Smallest - Lakshadweep.
Is mars the biggest or smallest in the solar system?
mercury is smallest and Jupiter is biggest.
Put these numbers smallest to biggest 8.2 8.19?
Smallest 8.19 Biggest 8.2
Is mars the biggest or smallest planet?
it is the fourth planet from the sun, but its neither the biggest or smallest
What is world's biggest and smallest animal?
Biggest: Blue Whale Smallest: Microscopic Round Worm
Which is the biggest to smallest between mg KB gb?
smallest kb mb gb biggest
