Question

8. the area of a right angle triangle ABC is X square + 9 by 2 x minus 9 square units and angle b is equal to 90 degree if the length of Ab and BC are Express in the form of linear polynomial of x integer coefficients and find their length coefficients, then find their length​

Answer 1

Answer:

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Answer 2

Solution :-

since in right angle ∆ ABC right angle is at B .

so,

→ AB = Perpendicular height .

→ BC = Base .

then,

→ Area ∆ABC = (1/2) * Base * Perpendicular height .

→ (1/2) * AB * BC = x² + (9/2)x - 9

→ AB * BC = 2x² + 9x - 18

→ AB * BC = 2x² + 12x - 3x - 18

→ AB * BC = 2x(x + 6) - 3(x + 6)

→ AB * BC = (x + 6)(2x - 3)

therefore, length of AB and BC are (x + 6) units and (2x - 3) units respectively .

[Note :- when AB is (x + 6) units , BC is (2x - 3) units and when AB is (2x - 3) units, BC is (x + 6) units. ]

Learn more :-

solution of x minus Y is equal to 1 and 2 X + Y is equal to 8 by cross multiplication method

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