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Q: 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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Area = 1/2*(sum of the 2 parallel sides)*height

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

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.

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).

Height of trapezoid = 2*area/sum of parallel sides

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Area = 1/2*(sum of the 2 parallel sides)*height

A trapezoid is a polygon. Therefore, a trapezoid has no height

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

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.

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.

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.

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).

Yes if the isosceles triangle is a right isosceles triangle because that leg opposite the hypotenuse is the height

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.

Height of trapezoid = 2*area/sum of parallel sides

Area of a trapezoid = 0.5*(sum of parallel sides)*height

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