Question

the area of right angle triangle is 3000 CM if the base of the triangle exceeds altitude by 70 cm find the dimension of the triangle​

Answer 1

Answer:

$area \: of \: triangle = \frac{1}{2} \times base \: \times height \\ height \: = h \\ base \: = h + 70 \\ = \frac{1}{2} \times (h + 70) \times h = 3000 \\ h {}^{2} + 70h = 6000 \\ h {}^{2} + 70h - 6000 = 0 \\ now \: using \: splitting \: middle \: term \\ h {}^{2} + 120h - 50h - 6000 \\ h(h + 120) - 50(h + 120) \\ (h - 50)(h + 120) \\ h - 50 = 0 \\ h = 50cm$

So, height is 50cm and base 120cm

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