# IS trapezoid

Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.

Result

v =  27.7 cm
u=|AC|=|BD| =  43.1 cm

#### Solution:

$a = 37 \ cm \ \\ c = 29 \ cm \ \\ r = 28 \ cm \ \\ x = (a-c)/2 = (37-29)/2 = 4 \ cm \ \\ v = \sqrt{ r^2-x^2 } = \sqrt{ 28^2-4^2 } = 16 \ \sqrt{ 3 } \doteq 27.7128 = 27.7 \ \text{ cm }$
$u = \sqrt{ v^2+(a-x)^{ 2 } } = \sqrt{ 27.7128^2+(37-4)^{ 2 } } \doteq 43.0847 = 43.1 \ \text{ cm }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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I don’t know how to do it????????

1 year ago  3 Likes Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

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