Calculate the height of the trapezoid if the AC diagonal of the isosceles trapezoid ABCD is 15 cm.

univerkov | June 21, 2021 | education

Calculate the height of the trapezoid if the AC diagonal of the isosceles trapezoid ABCD is 15 cm. The CAD angle is 30 degrees.

Let us draw the height CH from the vertex C of the obtuse angle of the trapezoid to the larger base AD.

In the formed right-angled triangle ACH, the angle CAH is 30, then its leg CH lies opposite the angle 30, and therefore its length is equal to half the length of the hypotenuse AC.

CH = AC / 2 = 15/2 = 7.5 cm.

Answer: The height of the trapezoid is 7.5 cm.

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