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In an isosceles trapezoid the longest base is 11 a leg is 5 and the height is 4 Find the length of the shorter base of the trapezoid?
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∙ 11y ago
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∙ 11y ago
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How do you find the area of an isosceles trapezoid?
Area = 1/2*(sum of the 2 parallel sides)*height
The area of an isosceles trapezoid is 54 square cm. The perimeter is 32 cm. If a leg is 7 cm long what is the height of the trapezoid?
Let its height be x:- Area of the isosceles trapezoid: 0.5*(sum of parallel sides)*height Perimeter: 32-7-7 =18 which is sum of parallel sides Area: 0.5*(18)*x = 54 Height: (54*2)/18 = 6 cm Check: 0.5*(18)*6 = 54 square cm
What is the height of an isosceles trapezoid if the bases are 8 and 12?
With the information given it can be any height greater than zero units. If the area was given, or the lengths of the equal sides were given, then the height can be calculated specifically.
Height of an isosceles triangle?
If you know the length of the sides, you can use Pythagoras' Theorem to calculate the height. Use half the base for one of the shorter sides, and either of the two identical sides of the triangle for the hypothenuse. Solve for the other one of the shorter sides (the height).
An isosceles trapezoid has base angles of 45 degrees and bases of lengths 9 and 15 The area of the trapezoid is?
You can deduce that its height is 3, since the perpendiculars dropped from the shorter base create a central rectangle and two identical, right, isosceles triangle with base and height 3.3(9+15)/2=36We know the piece of the base is 3 because we subtract 9 (top base) from 15 (bottom base) and that gives us 6, then divide that in half because there are 2 triangles, so we get 3this only works for isosceles trapezoidsThen because the triangles on the sides are isosceles, the length of their bases is the same so if the horizontal base is 3, then the vertical base is also 3, which is the height of the trapezoidArea = average of bases times heightArea = (base 1 + base 2)/2 x heightArea = (15 + 9)/2 x 3Area = 24/2 x 3Area = 12 x 3 = 36
If the base of an isosceles trapezoid are 9 and 24 and each side has a lenght of 8what is the height of the trapezoid?
82,541,834,452,285,027,502,754,092,875,483,927,492,361,8933,759,236,592,654,926,492,675,927,592,750,376,094,375yd high
How do you find the area of an isosceles trapezoid?
Area = 1/2*(sum of the 2 parallel sides)*height
The area of an isosceles trapezoid is 54 square cm. The perimeter is 32 cm. If a leg is 7 cm long what is the height of the trapezoid?
Let its height be x:- Area of the isosceles trapezoid: 0.5*(sum of parallel sides)*height Perimeter: 32-7-7 =18 which is sum of parallel sides Area: 0.5*(18)*x = 54 Height: (54*2)/18 = 6 cm Check: 0.5*(18)*6 = 54 square cm
How do you find height of a trapezoid?
A trapezoid is a polygon. Therefore, a trapezoid has no height
What is the height of an isosceles trapezoid if the bases are 8 and 12?
With the information given it can be any height greater than zero units. If the area was given, or the lengths of the equal sides were given, then the height can be calculated specifically.
What is the area of a right triangle and a trapezoid?
Triangle: Half the product of the longest side and the perpendicular distance from it to the apex. Trapezoid: Half the product of the sum of its bases and the height.
How do find the area of an isosceles tringle?
The area of ANY triangle is base x height. The height must be measured perpendicular to the base. In the case of an isosceles triangle, if you know only the length of the sides, you can figure out the height by Pythagoras' Theorem.
Height of an isosceles triangle?
If you know the length of the sides, you can use Pythagoras' Theorem to calculate the height. Use half the base for one of the shorter sides, and either of the two identical sides of the triangle for the hypothenuse. Solve for the other one of the shorter sides (the height).
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.
When can the leg of an isosceles triangle be used as the height of the triangle?
Yes if the isosceles triangle is a right isosceles triangle because that leg opposite the hypotenuse is the height
An isosceles trapezoid has base angles of 45 degrees and bases of lengths 9 and 15 The area of the trapezoid is?
You can deduce that its height is 3, since the perpendiculars dropped from the shorter base create a central rectangle and two identical, right, isosceles triangle with base and height 3.3(9+15)/2=36We know the piece of the base is 3 because we subtract 9 (top base) from 15 (bottom base) and that gives us 6, then divide that in half because there are 2 triangles, so we get 3this only works for isosceles trapezoidsThen because the triangles on the sides are isosceles, the length of their bases is the same so if the horizontal base is 3, then the vertical base is also 3, which is the height of the trapezoidArea = average of bases times heightArea = (base 1 + base 2)/2 x heightArea = (15 + 9)/2 x 3Area = 24/2 x 3Area = 12 x 3 = 36
How you could find the height of a trapezoid if you knew the length of the 2 bases and the area of the trapezoid?
Height of trapezoid = 2*area/sum of parallel sides
