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ICSE Class 9 Answered

Asked by | 18 Mar, 2014, 04:53: PM
answered-by-expert Expert Answer
Let the base be b and height be h.
It is given that b - h = 3
i.e. b = h + 3
 
Area of triangle = (1/2) x base x height
i.e. (1/2) x h x (h+3) = 54
h2 + 3h = 108
h2 + 12h - 9h - 108 = 0
(h + 12)(h - 9) = 0
i.e. h = 9 cm
Hence, b = h + 3 = 9 + 3 = 12 cm
 
Now, hypotenuse side = sqrt (92 + 122) = sqrt(81 + 144) = sqrt(225) = 15 cm
 
Thus, perimeter = 9 + 12 + 15 = 36 cm
Answered by | 19 Mar, 2014, 11:58: AM

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