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