CBSE Class 10 Answered
right angled triangle
Asked by SSHHII | 07 Feb, 2010, 10:02: PM
Expert Answer
Area = basexheight/2
40 = basexheight/2
basexheight = 80
Perimeter = base+height+hypotenuse
base+height+hypotenuse = 40
Square on both sides,
(base+height)2+ 2basexheightxhypotenuse + hypotenuse2 = 1600
base2+2basexheight+height2+2basexheightxhypotenuse + hypotenuse2 = 1600
2hypotenuse2 + 2basexheight +2basexheightxhypotenuse = 1600 ...........(base2+height2 =hypotenuse2)
2hypotenuse2 + 2x80 +2x80xhypotenuse = 1600
2hypotenuse2 + 160xhypotenuse -1440 = 0
hypotenuse2 + 80xhypotenuse - 720 = 0
hypotenuse = [-80±(6400+2880)]/2 = [-80±96.33]/2 = 8.17 units.
The length of hypotenuse is, 8.17 units.
Regards,
Team,
TopperLearning.
Answered by | 08 Feb, 2010, 05:34: AM
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