Question

to verify the formula for the area of a triangle by graphical method

Answer 1

area of triangle ABC = area of triangle ABE + area of triangle CBE

area of triangle ABC = (y × h)/2 + (x × h)/2 

area of triangle ABC = (y × h + x × h)/2 

area of triangle ABC = h ×(y + x)/2 

Notice that y + x is the length of the base of triangle ABC.

Thus, it is ok to say that y + x = b

Therefore, area of triangle ABC = (h × b)/2 

Answer 2

Answer:

Step-barea of triangle ABC = area of triangle ABE + area of triangle CBE

area of triangle ABC = (y × h)/2 + (x × h)/2  

area of triangle ABC = (y × h + x × h)/2  

area of triangle ABC = h ×(y + x)/2  

Notice that y + x is the length of the base of triangle ABC.

Thus, it is ok to say that y + x = b

Therefore, area of triangle ABC = (h × b)/2 y-step explanation: