the height of a triangle is 7 cm less than its base and its area is 9 square centimetre find the height and base of the triangle
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Step-by-step explanation:
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Answer:
base = 2
height = 9
Step-by-step explanation:
Since height is 7 cm more than the base
Height = ( b+7)
Let b be the base .
Therefore area = 1/2 b × h
9 = 1/2 × b(b+7)
18=b^+ 7b
0= b^+7b-18
0=b^+9b-2b-18
0=b(b+9)- 2(b+9)
0=(b+9) (b-2)
Therefore either b = 2 or b = -9
But length can never be in negative . We reject -9
Base = 2
Height = 2+7=9
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