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The bases of isoscles trapezoid ABCD ARE 24cm and 36cm and its base angles are 45 degrees what is the height of the trapezoid?
Wiki User
∙ 14y ago
6 cm
Each side of the trapezoid has a right angle triangle with a base of 6 cm.
Using trigonometry and the tangent ratio:
tan = opp/adj and when rearranged: tan*adj = opp (the height)
tan(45)*6 = 6 cm
Wiki User
∙ 14y ago
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How do you find height of a trapezoid?
A trapezoid is a polygon. Therefore, a trapezoid has no height
What are 4 trapezoid attributes?
A trapezoid is a 4 sided quadrilateral It has 1 pair of opposite parallel sides of different lengths It has 2 diagonals It has 4 interior angles that add up to 360 degrees It has a perimeter which is the sum of its 4 sides It has an area which is: 0.5*(sum of its parallel sides)*height It will tessellate
What is the height of the pentagon?
Height of Pentagon = SideLength * (cos(18) + sin(36))with angles measured in degrees
What are some similarities between a rhombus rectangle square and trapezoid?
-- each has 4 sides -- each has 4 interior angles -- sum of interior angles of each is 360 degrees -- each is a plane figure -- area of each is (1/2) x (height) x (sum of the lengths of the 2 bases)
What is the height of a trapezoid with bases 7in and 12 in?
We cannot determine the height of a trapezoid with just the lengths of the bases. Additional information such as the length of the parallel sides or any angles would be needed to calculate the height accurately.
How do you find the height of a trapezoid if it has two right angles?
Trapezoids do not have right angles. You probably thinking of a polygon or quadralateral.
How do you find height of a trapezoid?
A trapezoid is a polygon. Therefore, a trapezoid has no height
What are the 4 interior angles of an isosceles trapezoid when its parallel sides are 3.75 cm and 15 cm with an area of 140.625 square cm showing work and answer?
Area: 0.5*(15+3.75)*height = 140.625 sq cm Height: (2*140.625)/18,75 = 15 cm The trapezoid will have 2 right angles each side with bases of (15-3.75)/2 = 5.625 and using the tangent ratio as follows:- arc tan(15/5.625) = 69.44 degrees rounded to two decimal places Its equal base angles are: 69.44, 69.44, 110.56 and 110.56 degrees Check: 69.44+69.44+110.56+110.56 = 360 degrees
What are 4 trapezoid attributes?
A trapezoid is a 4 sided quadrilateral It has 1 pair of opposite parallel sides of different lengths It has 2 diagonals It has 4 interior angles that add up to 360 degrees It has a perimeter which is the sum of its 4 sides It has an area which is: 0.5*(sum of its parallel sides)*height It will tessellate
What are the interior angles of an isosceles trapezoid whose parallel sides are 7.35 cm and 3.44 cm with an area of 53.95 square cm showing work and answer to an appropriate degree of accuracy?
Area: 0.5*(7.35+3.44)*height = 53.95 sq cm Height: (2*53.95)/(7.35+3.44) = 10 cm The isosceles trapezoid will have right angle triangles at each side with a base of (7.35-3.44)/2 = 1.955 cm and to find the angles use the tangent ratio as follows:- Tangent^-1(10/1.955) = 79 degrees rounded Base angles are equal and so therefore angles are: 79, 79, 101 and 101 degrees
What are the interior angles of an isosceles trapezoid whose opposite parallel sides are 3.99 cm and 6.01 cm with an area of 78.25 square cm showing work to an appropriate degree of accuracy?
Area: 0.5*(3.99+6.01)*height = 78.25 sq cm Height: (2*78.75)/10 = 15.65 cm The trapezoid will have 2 right angle triangles each side with bases of (6.01-3.99)2 = 1.01 cm and using the tangent ratio as follows:- Tangent^-1(15.65/1.01) = 86 degrees rounded Base angles are equal therefore the angles are: 86, 86, 94 and 94 degrees
What is the height of the pentagon?
Height of Pentagon = SideLength * (cos(18) + sin(36))with angles measured in degrees
What are some similarities between a rhombus rectangle square and trapezoid?
-- each has 4 sides -- each has 4 interior angles -- sum of interior angles of each is 360 degrees -- each is a plane figure -- area of each is (1/2) x (height) x (sum of the lengths of the 2 bases)
What facts about isosceles trapezoid?
It is a 4 sided quadrilateral Its base angles are equal in size It has 2 equal acute and 2 equal obtuse angles Its 4 angles add up to 360 degrees It has a pair of parallel sides of different lengths It has 1 line of symmetry Its perimeter is the sum of its 4 sides Its area is 0.5*(sum of parallel sides)*height
What is the height of a trapezoid with bases 7in and 12 in?
We cannot determine the height of a trapezoid with just the lengths of the bases. Additional information such as the length of the parallel sides or any angles would be needed to calculate the height accurately.
What are the properties of a trapezuim?
A trapezium is sometimes known as a trapezoid It is a 4 sided quadrilateral shape It has 1 pair of parallel sides of different lengths It has 4 interior angles that add up to 360 degrees It has 4 exterior angles that add up to s60 degrees It has 2 diagonals It is made from 2 triangles It has an area which is 0.5*(sum of parallel sides)*height It has a perimeter which is the sum of its 4 sides
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.
