In the diagram, D is a point on BC. AD BC, BAD = LACD, BD=9 cm andDCa) Show that AABD is similar to ACAD.b) Find the length of AD. [12 cm]c) Find the length of AB. [15 cm]4.16cm.0)* ADB= 180°-90°(adj-%s on o st-line)%3D=D90°B.16In AABD and ACAD,BAD=YAGD (given)¥BDA =XADC - 90°*0BA =XDAGIXSs som of A)%3DABD is similar to ACAD (3 pairs of corl-Ls are equal) ANTHONY CANOSSIAN SECONDARY SCHOOLSec 5NA Mathematics - HomeworkHW 3.25.In the diagram, AB // DC, LACB= LCDA, AB = 27 cm, DC = 12 cm and AD= 15 cm.a) Show that AABC is similar to ACAD.b) Find the length of AC. [18cm]c) Find the length of BC. [22.5 cm]o) In AABC and AGAD,1215B277.In the diagram, ABC, AED and CEF are straight lines. AF / BE || CD, AB = 20 cm,BC = 30 cm, AF= 25 cm, BE= x cm and CD = y cm.a) Name a triangle that is similar to AACF. State the reason for the similarity.b) Find the value of x. [15]c) Find the value of y. [37.5]F252030

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Sec 5NA Mathematics - Homework SECONDARY SCHOOL HW 3.2 In the diagram, AB // DC, 4ACB= LCDA, AB = 27 cm, DC= 12 cm and AD= 15 cm. a) Show that AABC is similar to ACAD. b) Find the length of AC. [18cm] c) Find the length of BC. [22.5 cm] o) In AABG and AGAD, %3D 12 15 5.

Sec 5NA Mathematics - Homework SECONDARY SCHOOL HW 3.2 In the diagram, AB // DC, 4ACB= LCDA, AB = 27 cm, DC= 12 cm and AD= 15 cm. a) Show that AABC is similar to ACAD. b) Find the length of AC. [18cm] c) Find the length of BC. [22.5 cm] o) In AABG and AGAD, %3D 12 15 5.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.6: Segments Divided Proportionally

Problem 38E: In right ABC with right C,AD bisects BAC. If AC=6 and DC=3, find BD and AB. HINT: Let BD=x and...

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Question

100%

In the diagram, D is a point on BC. AD BC, BAD = LACD, BD=9 cm and
DC
a) Show that AABD is similar to ACAD.
b) Find the length of AD. [12 cm]
c) Find the length of AB. [15 cm]
4.
16cm.
0)* ADB= 180°-90°(adj-%s on o st-line)
%3D
=D90°
B.
16
In AABD and ACAD,
BAD=YAGD (given)
¥BDA =XADC - 90°
*0BA =XDAGIXSs som of A)
%3D
ABD is similar to ACAD (3 pairs of corl-Ls are equal)

ANTHONY CANOSSIAN SECONDARY SCHOOL
Sec 5NA Mathematics - Homework
HW 3.2
5.
In the diagram, AB // DC, LACB= LCDA, AB = 27 cm, DC = 12 cm and AD= 15 cm.
a) Show that AABC is similar to ACAD.
b) Find the length of AC. [18cm]
c) Find the length of BC. [22.5 cm]
o) In AABC and AGAD,
12
15
B
27
7.
In the diagram, ABC, AED and CEF are straight lines. AF / BE || CD, AB = 20 cm,
BC = 30 cm, AF= 25 cm, BE= x cm and CD = y cm.
a) Name a triangle that is similar to AACF. State the reason for the similarity.
b) Find the value of x. [15]
c) Find the value of y. [37.5]
F
25
20
30

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