Question-9627

Question Number 9627 by ridwan balatif last updated on 21/Dec/16

Commented by ridwan balatif last updated on 21/Dec/16

Commented by sou1618 last updated on 22/Dec/16

△ A D E ∽ △ C M E

s o

A E : C E = A D : C M

A E : (A C - A E) = 2 : 1

A E = 2 (A C - A E)

A E = \frac{2}{3} A C

A E = 52 .

Answered by mrW last updated on 21/Dec/16

\frac{AE}{EC} = \frac{AD}{MC} = \frac{2}{1}

AE = 2 \times EC = 2 \times (AC - AE) = 2 \times AC - 2 \times AE

3 \times AE = 2 \times AC

AE = \frac{2}{3} \times AC = \frac{2}{3} \times 78 = 52

Commented by ridwan balatif last updated on 21/Dec/16

thank you sir for your help