Question

in the given figure,if AB=1&cm,BC=
AD =13cm and CD=25cm , the height is
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Answer 1

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AB = 15cm

BC = AD = 13cm

CD = 25cm

As the both sides of this Trapazuim are equal, so it is an isosceles Trapazuim.

So, 2DE + AB = DC

2DE = DC - AB

2DE = 25 - 15

2DE = 10

DE = 5 cm

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By Pythagorean theorem,

• ${(ad)}^{2} + {(de)}^{2} = {(ae)}^{2}$
• ${(13)}^{2} + {(5)}^{2} = {(ae)}^{2}$
• $169 + 25 = {(ae)}^{2}$
• $194 = {(ae)}^{2}$
• $ae = \sqrt{194}$