Page 61 - Mathematics_Form_Two

Similarity

Exercise 3�4 3. In the following figure, if

1. In each of the following pairs of OA = 8 dm, BO = 6 dm,
figures, determine whether they
are similar or not. Indicate the OD = 4 dm and OC = 3 dm.
similarity theorem used to support Verify that AOB ~ DOC. 
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your answer.
Mathematics for Secondary Schools
(a)

4. In the following figure, XYZ

(b) is a right-angled triangle and
XW = XZ . Prove that ZW is
XZ XY
perpendicular to XY.

(c)

5. To determine the height of a tree,
Adelfina decided to stand in front of
a tree so that the tip of her shadow

2. In the following figure, AE = AD . coincides with the tip of the shadow
AC AB of the tree. She stood 30 m from
Show that ABC ~ AED.  the base of the tree. If her height is
160 cm and her shadow is 220 cm:

(a) Draw a diagram to show the
given information.

(b) What theorem of similarity
of triangles could she use to
calculate the height of the tree?

(c) What is the height of the tree
to the nearest metre?

55
Student's Book Form Two

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MATHEMATIC F2 v5.indd 55