Question

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

​

Answer 1

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.

Answer 2

Answer:

hey buddy here's your answer

Step-by-step explanation:

let the base be y

then the altitude is 5/3y

new altitude will be (5y+12)/3

new base will be y - 3

• 5y^2/6 =(5y^2-3y-36)/6
• then 3y =36
• y=2

so base is 12cm and altitude will be 20cm