Question

An altitude of a tri∠ is five- thirds the length of its corresponding

base. If the altitude is increased by 4 cm and the base is decreased by 2

cm, but the area of the tri∠ remains the same. Find the base and the

altitude of the tri∠ respectively.


Please give the answer step by step and explain each step

Please answer as soon as possible
No stupid answers will be tolerated ​

Answer 1

let the base=t

then altitude=5t/3

according to the question

altitude is increased by 4

therefore ALTITUDE = 5t/3+4

base is decreased by 2

then BASE= t-2

given that area of triangle is same

1/2×base×altitude=1/2×BASE×ALTITUDE

1/2×t×5t/3=1/2×(t-2)×5t/3+4

5t square/3=(t-2)×5t+12/3

by solving this

t=12

base = 12

altitude = 20

Answer 2

check here ur answer ......