Question

Babad M this line AB and figure AB = 18 so AM = how much​

Answer 1

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The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

It is given that DE∣∣AB,AD=7 cm, CD=5 cm and BC=18 cm.

Using the basic proportionality theorem, we have

CACD=ABDE=CBCE

⇒CACD=CBCE

⇒125=18CE

⇒18×5=12CE

⇒12CE=90

⇒CE=1290=7.5

Since CE=7.5 cm, therefore,

CB=CE+EB

⇒18=7.5+EB

⇒EB=18−7.5=10.5

Hence, BE=10.5 cm and CE=7.5 cm.

Answer 2

a+b=76,a=76-b

a-b=38,76-b-b=38,76–2b=38 so,b=19

a=76–19=57

a/b=57/19=3 (ans).