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The ninth grade math problem asks for help!
Draw a dotted line BD, because AB is parallel to DC, so AD=BC, BD=AC=AB. Because the triangular bed is a right triangle, BD?

=

Is it?

+

De?

. BD?

=

AB?

=

(AB-AE)?

+

De?

=

AB?

-

2AB*AE

+

AE?

+

De?

. therefore

2AE*AB

=

AE?

+

De? . Also because

Triangle AED is a right triangle, so

AD?

=

AE?

+

De? . therefore

AD?

=

2AE*AB

. Question 2: Find the area of triangle ACD: Because

(CD+AE)?

+

De?

=

AC?

, namely

(CD+(AB-CD)/2)?

+

CD?

=

AB?

, namely

3AB?

-2AB*CD

-5CD?

=

0, that is

(3AB

-

5CD)*(AB

+

CD)=0,CD

Not equal to negative number

therefore

laser record

=

3AB/5. Because

Height of triangle ABC

=

De,

Height of triangle ACD

=

De. Therefore

ABC area

=

AB*

DE/2

=

50,

Regional ACD

=

DC * Germany /2

=

3AB/5*DE/2

=

3/5

*

Area ABC=

3/5

*

50

=

30。 therefore

The area of triangle ACD is

30。