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An altitude of a triangle is …

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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.

Posted by Vidhi Singh 5 years, 8 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 5 years, 8 months ago

Let the base be X
Then altitude = 5/3 X
New altitude = (5X+12)/3
New base = X-3
⇒ 5X^2/6= (5X^2-3X -36)/6
⇒ 3X=36
⇒ X=12
Hence,base is 12cm and altitude is 20cm

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CBSE > Class 08 > Mathematics