Question

Pls tella ns. of attached que. In ΔABC, median AD on BC and the angle bisector BE (where E lies on AC) are perpendicular to each other. If AD = 5 cm and BE = 7 cm and area of ΔABC =p/q , where p and q are co-prime, then find the sum of digits of p + q

Answer 1

In tri. DAE, DE Bisect angle ADB

So we have

DA/DB=AE/EB equ.1

Similarly in tri. DAC, DE Bisect angle ADC

we get

DA/DC=AF/FC

(DC=DB)

DA/DB=AF/FC equ.2

From equ 1 and equ 2

AE/EB= AF/FC

In tri ABC

EF ¶ BE (... BPT)

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