Question

17. _An altitude of a triangle is five-thirds the length of its corresponding base. If the altitude be
increased by 4 cm and the base decreased by 2 cm, the area of the triangle remains the
same. Find the base and the altitude of the triangle.​

Answer 1

Answer:

If the altitude is increased by 4 cm and the base decreased by 2 cm, the area of the triangle would remain the same. Find the base and altitude of the triangle. Let the length of corresponding base be x. Thus, altitude will be 35x

Step-by-step explanation:

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Answer 2

Answer:

Let the base be x then altitude will be 5/3x

Area of that triangle= 1/2*x*5/3x

ATQ

1/2*x*5/3x. = 1/2*(x-2)*(5/3x+4)