The altitude of a triangle is two-thirds the length of its corresponding base. If the altitude is decreased by 1 cm and the base is increased by 4 cm, the area of the new triangle remains the same. Find the base and the altitude of the original triangle.
Answers & Comments
As per the given condition,
x 2
=(x−2)(x−6)
x 2=x
2−2x−6x+12
8x=12
Base x=1.5 cm
Altitude=1 cm
Hence, this is the answer.
Verified answer
Answer:
The altitude of a triangle is two-thirds the length of its corresponding base. If the altitude is decreased by 1 cm and the base is increased by 4 cm, the area of the new triangle remains the same. Find the base and the altitude of the original triangle. The altitude of a triangle is two-thirds the length of its corresponding base. If the altitude is decreased by 1 cm and the base is increased by 4 cm, the area of the new triangle remains the same. Find the base and the altitude of the original triangle.....
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