2. In the figure , BD = 8, DC = 12 and B-D-C then AC A ABD): AC A ADC)= 8 D C 12 O 1:2 O O 2:1

Question

2. In the figure , BD = 8, DC = 12 and
B-D-C then AC A ABD): AC A ADC)=
8
D
C
12
O 1:2
O O
2:1
O
2:3
O
3:2​

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Adeline 1 month 2021-09-17T09:30:55+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-17T09:32:50+00:00

    Given :

    • BD = 8cm & DC = 12
    • B – D – C

    To Find :

    • The ratio of A(ΔABD) : A(ΔADC).

    Solution :

    As we know that,

    The ratio of the area of the two Δs is equal to the ratio of the product of their bases and their corresponding heights.

    ↪\frac{A(ΔABD)}{A(ΔADC)} = \frac{b_1 × h_1}{b_2 × h_2}

    ↪\frac{A(ΔABD)}{A(ΔADC)} = \frac{BD ×  \cancel{AD}}{DC ×  \cancel{AD}}</h3>

    ↪\frac{A(ΔABD)}{A(ΔADC)} = \frac{BD}{DC}

    ↪\frac{A(ΔABD)}{A(ΔADC)} = \frac{ \cancel8}{ \cancel{12}}

    ↪\frac{A(ΔABD)}{A(ΔADC)} = \frac{2}{3}

    { \boxed{ \red{A(ΔABD) : A(ΔADC) = 3:2}}}

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