Question

the heights of triangls ABC and triangle DBC are 4cm and 6cm respectively find A( ABC)/A(DBC)​

Answer 1

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Answer 2

Given:

The height of ΔABC = 4cm

and the height of ΔDBC = 6cm

To Find

a(abc)/a(dbc)

Solution:

ΔABC ≅ ΔDBC     ( they have a common base bc)

As we know, areas of a triangle with an equal base are proportional to their corresponding heights.

So, A(ΔABC)/A(ΔDBC) = $\frac{h_{1} }{h_{2} }$

                                     = $\frac{AB}{BD}$

                                     = 4/6

                                     = 2/3

∴ A(ΔABC)/A(ΔDBC) = 2/3

Therefore, A(ΔABC)/A(ΔDBC) is 2:3.