Geometry Homework2 1

Geometry Homework (II) Name:___________

Date_____________

Please solve following questions: 1.

A 56o

D

E X

B

C In ∆ ABC, AB=AC, AD=DB, and AE=EC. X=? ∠ ADE=? ∠ AED=?

2. A

D 12 B

C

In equilateral ∆ ABC, CD ⊥ AB, and CD=12. AB=? AD=? DB=? ∠ ACD=? ∠ BCD=? 3.

A

12

In right ∆ ABC, angle B is a right angle, and BD ⊥ AC. BD=?

D 5 B

C

4. A 12 10 6 B

D

C

In ∆ ABC, AD ⊥ BC, and AC=12, AD=6, AB=10. BC=? 5. A

B

D

C

In square ABCD, diagonal BD=100 mm. AB=? ∆ ABC is a right triangle, and ∠ ABC=90o, AB=7, AC=24. Please find the length of BC.

6. 7.

A E D C B

In ∆ ABC, AD=DB, AE=EC, and area of ∆ ABC is 16. Area of BCDE=? 8. A 60o

B

C

In right ∆ ABC, ∠ ABC=90o, ∠ BAC=60o, AB=10 cm. AC =? BC=? 9.

A

B

C In the right ∆ ABC, ∠ BAC=90o. AB=6, BC=10, AC=? Please also find the area of the right ∆ ABC.

10.

A

D

B

E

C

In isosceles ∆ ABC, AD=DB, AE=EC, BC=12, ∠ A=70o. ∠ ADE=? ∠ AED=? DE=?