Question

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In the adjoining figure, AE = DC = 13 cm,
BE = 5 cm. LABC = 90° and AD = EC = x cm.
Calculate the length of AB and the value of x.​

Answer 1

Step-by-step explanation:

Pythagoras theorem,

AE^=AB^+BE^

(13)^=(AB)^+(5)^

169=(AB)^+25

AB=12 cm

Now,AD=xcm

AB=12cm

so,BD=(12-x)cm

Pythagoras theorem,

(CD)^=(BD)^+(BC)^

(13)^=(12-x)^+(BE+EC)^

169=144+x^-24x+(5+EC)^

169-144=x^-24x+25+x^+10x

25=x^-24x+25+x^+10x

2x^=14x

x=7cm

Answer 2

Answer:

the answer is 7 cm.

Step-by-step explanation:

X=7cm