Extended maths question
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Extended maths question

[From: ] [author: ] [Date: 11-05-14] [Hit: ]
CD = 25cm and AD = 44cm.-Draw a rough sketch to visualize the problem. Drop a perp from c to the base in f. Now be and cf both are altitudes of same height.BE = 15-Draw a picture of the quadrilateral and then first give a try yourself. Otherwise you will never learn.......
In quadrilateral ABCD, BC is parallel to AD. E is the foot of the perpendicular from B to AD. Find BE, if AB = 17cm, BC = 16cm, CD = 25cm and AD = 44cm.

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Draw a rough sketch to visualize the problem. Drop a perp from c to the base in f. Now be and cf both are altitudes of same height.

From the 2 right triangles formed you can write an equation
25²– x² = 17² - (28-x)²
solving we get x = 20
now see triangle BAE and solve for BE
BE² = 17² - 8²
BE = 15

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Draw a picture of the quadrilateral and then first give a try yourself. Otherwise you will never learn.
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