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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?
Skyleranderson
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
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt is 6 cm.
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What is the perimeter of ann isosceles trapezoid with a height of 4 inches and bases of 10 and 12?
Use Pythagoras to find the lengths of the sides: 42+12 = 17 and the square root of this is the length of the sides which works out at about 4.123105626 Perimeter: 2*4.123105626+10+12 = 30.24621125 inches
What is the perimeter of an isosceles trapezoid whose parallel sides are 29.75 cm and 19.25 cm with an area of 171.5 square cm showing work and final answer to one decimal place?
Area: 0.5*(29.75+19.25)*height = 171.5 square cm Height: (171.5*2)/(29.75+19.25) = 7 cm The isosceles trapezoid will have right angle triangles at each side with a base of (29.75-19.25)/2 = 5.25 cm so use Pythagoras to find its hypotenuse:- Pythagoras: 7 squared+5.25 squared = 76.5625 and square root is 8.75 Perimeter: 8.75+8.75+29.75+19.25 = 66.5 cm
What is a quadrilateral with congruent diagonals?
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Is a square an isosceles trapezoid?
Nope A square is a parallelogram By definition a trapezoid is a quadrilateral with only one pair of sides parallel
What quadrilateral have diagonals of equal length?
A rectangle, a square, and an isosceles trapezoid.
What is the perimeter of an isosceles trapezoid when one of its parallel lines is greater by 10.5 cm than its other parallel side and has height of 7 cm with an area of 106.75 square cm?
The perimeter is 48 cm.
What is the perimeter of ann isosceles trapezoid with a height of 4 inches and bases of 10 and 12?
Use Pythagoras to find the lengths of the sides: 42+12 = 17 and the square root of this is the length of the sides which works out at about 4.123105626 Perimeter: 2*4.123105626+10+12 = 30.24621125 inches
How do you find the area and perimeter of a trapazoid?
Area of a trapezoid in square units = 0.5*(sum of parallel sides)*height Perimeter = sum of its 4 sides
What is the perimeter of an isosceles trapezoid whose parallel sides are 29.75 cm and 19.25 cm with an area of 171.5 square cm showing work and final answer to one decimal place?
Area: 0.5*(29.75+19.25)*height = 171.5 square cm Height: (171.5*2)/(29.75+19.25) = 7 cm The isosceles trapezoid will have right angle triangles at each side with a base of (29.75-19.25)/2 = 5.25 cm so use Pythagoras to find its hypotenuse:- Pythagoras: 7 squared+5.25 squared = 76.5625 and square root is 8.75 Perimeter: 8.75+8.75+29.75+19.25 = 66.5 cm
What is a quadrilateral with congruent diagonals?
An Isosceles Trapezoid, Rectangle, or a Square.
Whose diagonals are congruent?
square, rectangle and an isosceles trapezoid
Is a square an isosceles trapezoid?
Nope A square is a parallelogram By definition a trapezoid is a quadrilateral with only one pair of sides parallel
Draw a quadrilateral that is not a square?
rectangle, rhombus, parallelogram, trapezoid, isosceles trapezoid, kite ... etc
What are the 4 symmetrical quadrilaterals?
square, rectangle, kite and an isosceles trapezoid
What quadrilateral have diagonals of equal length?
A rectangle, a square, and an isosceles trapezoid.
What quadrilateral must have congruent diagnals?
A square, a rectangle and an isosceles trapezoid
Which 3 quadrilaterals always have congruent diagonals?
square, rectangle and an isosceles trapezoid.
